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Finding the Fourth Proportional to 861,795,454.66, 1,292,874,757.83 and 279,484,294.90

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Solution

The fourth proportional to 861,795,454.66, 1,292,874,757.83 and 279,484,294.90 is: 419,285,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,795,454.66 : 1,292,874,757.83 = 279,484,294.90 : x
  2. Step 2: Convert to fraction form
    861,795,454.66/1,292,874,757.83 = 279,484,294.90/x
  3. Step 3: Cross multiply
    861,795,454.66x = 1,292,874,757.83 × 279,484,294.90
  4. Step 4: Simplify right side
    861,795,454.66x = 361,338,190,086,125,760
  5. Step 5: Solve for x
    x = 361,338,190,086,125,760/861,795,454.66
  6. Step 6: Final answer
    x = 419,285,328.24

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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.