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Finding the Fourth Proportional to 407,727.90, 611,591.85 and 403,791.30

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Solution

The fourth proportional to 407,727.90, 611,591.85 and 403,791.30 is: 605,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,727.90 : 611,591.85 = 403,791.30 : x
  2. Step 2: Convert to fraction form
    407,727.90/611,591.85 = 403,791.30/x
  3. Step 3: Cross multiply
    407,727.90x = 611,591.85 × 403,791.30
  4. Step 4: Simplify right side
    407,727.90x = 246,955,468,180.91
  5. Step 5: Solve for x
    x = 246,955,468,180.91/407,727.90
  6. Step 6: Final answer
    x = 605,686.95

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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.