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Finding the Fourth Proportional to 284,497.05, 392,613.87 and 157,180.86

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Solution

The fourth proportional to 284,497.05, 392,613.87 and 157,180.86 is: 216,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,497.05 : 392,613.87 = 157,180.86 : x
  2. Step 2: Convert to fraction form
    284,497.05/392,613.87 = 157,180.86/x
  3. Step 3: Cross multiply
    284,497.05x = 392,613.87 × 157,180.86
  4. Step 4: Simplify right side
    284,497.05x = 61,711,385,734.53
  5. Step 5: Solve for x
    x = 61,711,385,734.53/284,497.05
  6. Step 6: Final answer
    x = 216,913.97

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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.