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Finding the Fourth Proportional to 394,947.60, 592,158.84 and 217,538

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Solution

The fourth proportional to 394,947.60, 592,158.84 and 217,538 is: 326,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,947.60 : 592,158.84 = 217,538 : x
  2. Step 2: Convert to fraction form
    394,947.60/592,158.84 = 217,538/x
  3. Step 3: Cross multiply
    394,947.60x = 592,158.84 × 217,538
  4. Step 4: Simplify right side
    394,947.60x = 128,817,049,735.92
  5. Step 5: Solve for x
    x = 128,817,049,735.92/394,947.60
  6. Step 6: Final answer
    x = 326,162.38

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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.