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Finding the Fourth Proportional to 524,903,554.80, 787,355,332.20 and 409,261,993.20

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Solution

The fourth proportional to 524,903,554.80, 787,355,332.20 and 409,261,993.20 is: 613,892,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,903,554.80 : 787,355,332.20 = 409,261,993.20 : x
  2. Step 2: Convert to fraction form
    524,903,554.80/787,355,332.20 = 409,261,993.20/x
  3. Step 3: Cross multiply
    524,903,554.80x = 787,355,332.20 × 409,261,993.20
  4. Step 4: Simplify right side
    524,903,554.80x = 322,234,612,612,820,160
  5. Step 5: Solve for x
    x = 322,234,612,612,820,160/524,903,554.80
  6. Step 6: Final answer
    x = 613,892,989.80

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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.