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Finding the Fourth Proportional to 442,419.28, 663,842.52 and 217,657.84

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Solution

The fourth proportional to 442,419.28, 663,842.52 and 217,657.84 is: 326,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,419.28 : 663,842.52 = 217,657.84 : x
  2. Step 2: Convert to fraction form
    442,419.28/663,842.52 = 217,657.84/x
  3. Step 3: Cross multiply
    442,419.28x = 663,842.52 × 217,657.84
  4. Step 4: Simplify right side
    442,419.28x = 144,490,529,003.36
  5. Step 5: Solve for x
    x = 144,490,529,003.36/442,419.28
  6. Step 6: Final answer
    x = 326,591.85

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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.