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Finding the Fourth Proportional to 513,624.96, 708,829.92 and 287,231.04

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Solution

The fourth proportional to 513,624.96, 708,829.92 and 287,231.04 is: 396,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,624.96 : 708,829.92 = 287,231.04 : x
  2. Step 2: Convert to fraction form
    513,624.96/708,829.92 = 287,231.04/x
  3. Step 3: Cross multiply
    513,624.96x = 708,829.92 × 287,231.04
  4. Step 4: Simplify right side
    513,624.96x = 203,597,955,104.72
  5. Step 5: Solve for x
    x = 203,597,955,104.72/513,624.96
  6. Step 6: Final answer
    x = 396,394.20

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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.