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Finding the Fourth Proportional to 423,872.92, 585,462.12 and 316,917.28

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Solution

The fourth proportional to 423,872.92, 585,462.12 and 316,917.28 is: 437,732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,872.92 : 585,462.12 = 316,917.28 : x
  2. Step 2: Convert to fraction form
    423,872.92/585,462.12 = 316,917.28/x
  3. Step 3: Cross multiply
    423,872.92x = 585,462.12 × 316,917.28
  4. Step 4: Simplify right side
    423,872.92x = 185,543,062,613.43
  5. Step 5: Solve for x
    x = 185,543,062,613.43/423,872.92
  6. Step 6: Final answer
    x = 437,732.76

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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.