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Finding the Fourth Proportional to 389,098.32, 583,716.60 and 132,916.92

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Solution

The fourth proportional to 389,098.32, 583,716.60 and 132,916.92 is: 199,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,098.32 : 583,716.60 = 132,916.92 : x
  2. Step 2: Convert to fraction form
    389,098.32/583,716.60 = 132,916.92/x
  3. Step 3: Cross multiply
    389,098.32x = 583,716.60 × 132,916.92
  4. Step 4: Simplify right side
    389,098.32x = 77,585,812,624.87
  5. Step 5: Solve for x
    x = 77,585,812,624.87/389,098.32
  6. Step 6: Final answer
    x = 199,398.99

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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.