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Finding the Fourth Proportional to 280,377.75, 386,916.30 and 159,516.43

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Solution

The fourth proportional to 280,377.75, 386,916.30 and 159,516.43 is: 220,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,377.75 : 386,916.30 = 159,516.43 : x
  2. Step 2: Convert to fraction form
    280,377.75/386,916.30 = 159,516.43/x
  3. Step 3: Cross multiply
    280,377.75x = 386,916.30 × 159,516.43
  4. Step 4: Simplify right side
    280,377.75x = 61,719,506,884.81
  5. Step 5: Solve for x
    x = 61,719,506,884.81/280,377.75
  6. Step 6: Final answer
    x = 220,129.83

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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.