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Finding the Fourth Proportional to 257,489.58, 386,160.56 and 77,592.43

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Solution

The fourth proportional to 257,489.58, 386,160.56 and 77,592.43 is: 116,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,489.58 : 386,160.56 = 77,592.43 : x
  2. Step 2: Convert to fraction form
    257,489.58/386,160.56 = 77,592.43/x
  3. Step 3: Cross multiply
    257,489.58x = 386,160.56 × 77,592.43
  4. Step 4: Simplify right side
    257,489.58x = 29,963,136,220.56
  5. Step 5: Solve for x
    x = 29,963,136,220.56/257,489.58
  6. Step 6: Final answer
    x = 116,366.40

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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.