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Finding the Fourth Proportional to 487,956.74, 731,373.42 and 188,304.80

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Solution

The fourth proportional to 487,956.74, 731,373.42 and 188,304.80 is: 282,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,956.74 : 731,373.42 = 188,304.80 : x
  2. Step 2: Convert to fraction form
    487,956.74/731,373.42 = 188,304.80/x
  3. Step 3: Cross multiply
    487,956.74x = 731,373.42 × 188,304.80
  4. Step 4: Simplify right side
    487,956.74x = 137,721,125,578.42
  5. Step 5: Solve for x
    x = 137,721,125,578.42/487,956.74
  6. Step 6: Final answer
    x = 282,240.44

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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.