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Finding the Fourth Proportional to 524,581,661.80, 786,872,492.70 and 509,465,117.80

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Solution

The fourth proportional to 524,581,661.80, 786,872,492.70 and 509,465,117.80 is: 764,197,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,581,661.80 : 786,872,492.70 = 509,465,117.80 : x
  2. Step 2: Convert to fraction form
    524,581,661.80/786,872,492.70 = 509,465,117.80/x
  3. Step 3: Cross multiply
    524,581,661.80x = 786,872,492.70 × 509,465,117.80
  4. Step 4: Simplify right side
    524,581,661.80x = 400,884,087,186,985,152
  5. Step 5: Solve for x
    x = 400,884,087,186,985,152/524,581,661.80
  6. Step 6: Final answer
    x = 764,197,676.70

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.