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Finding the Fourth Proportional to 513,626.96, 708,832.68 and 287,233.04

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Solution

The fourth proportional to 513,626.96, 708,832.68 and 287,233.04 is: 396,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,626.96 : 708,832.68 = 287,233.04 : x
  2. Step 2: Convert to fraction form
    513,626.96/708,832.68 = 287,233.04/x
  3. Step 3: Cross multiply
    513,626.96x = 708,832.68 × 287,233.04
  4. Step 4: Simplify right side
    513,626.96x = 203,600,165,527.75
  5. Step 5: Solve for x
    x = 203,600,165,527.75/513,626.96
  6. Step 6: Final answer
    x = 396,396.96

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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.