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Finding the Fourth Proportional to 428,489.40, 642,474.90 and 191,787.96

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Solution

The fourth proportional to 428,489.40, 642,474.90 and 191,787.96 is: 287,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,489.40 : 642,474.90 = 191,787.96 : x
  2. Step 2: Convert to fraction form
    428,489.40/642,474.90 = 191,787.96/x
  3. Step 3: Cross multiply
    428,489.40x = 642,474.90 × 191,787.96
  4. Step 4: Simplify right side
    428,489.40x = 123,218,950,422.20
  5. Step 5: Solve for x
    x = 123,218,950,422.20/428,489.40
  6. Step 6: Final answer
    x = 287,565.92

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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.