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Finding the Fourth Proportional to 513,568.61, 708,724.14 and 287,214.11

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Solution

The fourth proportional to 513,568.61, 708,724.14 and 287,214.11 is: 396,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,568.61 : 708,724.14 = 287,214.11 : x
  2. Step 2: Convert to fraction form
    513,568.61/708,724.14 = 287,214.11/x
  3. Step 3: Cross multiply
    513,568.61x = 708,724.14 × 287,214.11
  4. Step 4: Simplify right side
    513,568.61x = 203,555,573,105.62
  5. Step 5: Solve for x
    x = 203,555,573,105.62/513,568.61
  6. Step 6: Final answer
    x = 396,355.17

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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.