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Finding the Fourth Proportional to 285,151.52, 393,496.71 and 157,819.52

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Solution

The fourth proportional to 285,151.52, 393,496.71 and 157,819.52 is: 217,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,151.52 : 393,496.71 = 157,819.52 : x
  2. Step 2: Convert to fraction form
    285,151.52/393,496.71 = 157,819.52/x
  3. Step 3: Cross multiply
    285,151.52x = 393,496.71 × 157,819.52
  4. Step 4: Simplify right side
    285,151.52x = 62,101,459,926.30
  5. Step 5: Solve for x
    x = 62,101,459,926.30/285,151.52
  6. Step 6: Final answer
    x = 217,784.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.