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Finding the Fourth Proportional to 499,435,998.40, 748,855,399.20 and 257,571,294.40

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Solution

The fourth proportional to 499,435,998.40, 748,855,399.20 and 257,571,294.40 is: 386,202,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,435,998.40 : 748,855,399.20 = 257,571,294.40 : x
  2. Step 2: Convert to fraction form
    499,435,998.40/748,855,399.20 = 257,571,294.40/x
  3. Step 3: Cross multiply
    499,435,998.40x = 748,855,399.20 × 257,571,294.40
  4. Step 4: Simplify right side
    499,435,998.40x = 192,883,654,490,372,736
  5. Step 5: Solve for x
    x = 192,883,654,490,372,736/499,435,998.40
  6. Step 6: Final answer
    x = 386,202,947.14

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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.