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Finding the Fourth Proportional to 615,344,761.80, 922,793,193.90 and 308,534,905.80

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Solution

The fourth proportional to 615,344,761.80, 922,793,193.90 and 308,534,905.80 is: 462,690,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,344,761.80 : 922,793,193.90 = 308,534,905.80 : x
  2. Step 2: Convert to fraction form
    615,344,761.80/922,793,193.90 = 308,534,905.80/x
  3. Step 3: Cross multiply
    615,344,761.80x = 922,793,193.90 × 308,534,905.80
  4. Step 4: Simplify right side
    615,344,761.80x = 284,713,911,152,817,632
  5. Step 5: Solve for x
    x = 284,713,911,152,817,632/615,344,761.80
  6. Step 6: Final answer
    x = 462,690,070.39

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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.