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Finding the Fourth Proportional to 280,377.43, 386,915.86 and 159,516.12

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Solution

The fourth proportional to 280,377.43, 386,915.86 and 159,516.12 is: 220,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,377.43 : 386,915.86 = 159,516.12 : x
  2. Step 2: Convert to fraction form
    280,377.43/386,915.86 = 159,516.12/x
  3. Step 3: Cross multiply
    280,377.43x = 386,915.86 × 159,516.12
  4. Step 4: Simplify right side
    280,377.43x = 61,719,316,753.66
  5. Step 5: Solve for x
    x = 61,719,316,753.66/280,377.43
  6. Step 6: Final answer
    x = 220,129.40

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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.