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Finding the Fourth Proportional to 524,110.40, 784,999.20 and 274,500.80

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Solution

The fourth proportional to 524,110.40, 784,999.20 and 274,500.80 is: 411,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,110.40 : 784,999.20 = 274,500.80 : x
  2. Step 2: Convert to fraction form
    524,110.40/784,999.20 = 274,500.80/x
  3. Step 3: Cross multiply
    524,110.40x = 784,999.20 × 274,500.80
  4. Step 4: Simplify right side
    524,110.40x = 215,482,908,399.36
  5. Step 5: Solve for x
    x = 215,482,908,399.36/524,110.40
  6. Step 6: Final answer
    x = 411,140.30

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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.