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Finding the Fourth Proportional to 287,229.70, 430,908.51 and 87,565.62

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Solution

The fourth proportional to 287,229.70, 430,908.51 and 87,565.62 is: 131,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,229.70 : 430,908.51 = 87,565.62 : x
  2. Step 2: Convert to fraction form
    287,229.70/430,908.51 = 87,565.62/x
  3. Step 3: Cross multiply
    287,229.70x = 430,908.51 × 87,565.62
  4. Step 4: Simplify right side
    287,229.70x = 37,732,770,841.43
  5. Step 5: Solve for x
    x = 37,732,770,841.43/287,229.70
  6. Step 6: Final answer
    x = 131,367.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.