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Finding the Fourth Proportional to 285,597.12, 394,123.68 and 172,397.76

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Solution

The fourth proportional to 285,597.12, 394,123.68 and 172,397.76 is: 237,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,597.12 : 394,123.68 = 172,397.76 : x
  2. Step 2: Convert to fraction form
    285,597.12/394,123.68 = 172,397.76/x
  3. Step 3: Cross multiply
    285,597.12x = 394,123.68 × 172,397.76
  4. Step 4: Simplify right side
    285,597.12x = 67,946,039,594.96
  5. Step 5: Solve for x
    x = 67,946,039,594.96/285,597.12
  6. Step 6: Final answer
    x = 237,908.70

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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.