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Finding the Fourth Proportional to 487,843.44, 731,760.96 and 381,316.89

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Solution

The fourth proportional to 487,843.44, 731,760.96 and 381,316.89 is: 571,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,843.44 : 731,760.96 = 381,316.89 : x
  2. Step 2: Convert to fraction form
    487,843.44/731,760.96 = 381,316.89/x
  3. Step 3: Cross multiply
    487,843.44x = 731,760.96 × 381,316.89
  4. Step 4: Simplify right side
    487,843.44x = 279,032,813,490.61
  5. Step 5: Solve for x
    x = 279,032,813,490.61/487,843.44
  6. Step 6: Final answer
    x = 571,972.05

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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.