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Finding the Fourth Proportional to 287,176.96, 430,787.52 and 87,514.24

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Solution

The fourth proportional to 287,176.96, 430,787.52 and 87,514.24 is: 131,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,176.96 : 430,787.52 = 87,514.24 : x
  2. Step 2: Convert to fraction form
    287,176.96/430,787.52 = 87,514.24/x
  3. Step 3: Cross multiply
    287,176.96x = 430,787.52 × 87,514.24
  4. Step 4: Simplify right side
    287,176.96x = 37,700,042,414.28
  5. Step 5: Solve for x
    x = 37,700,042,414.28/287,176.96
  6. Step 6: Final answer
    x = 131,278.09

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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.