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Finding the Fourth Proportional to 658,216.32, 987,315.84 and 159,584.64

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Solution

The fourth proportional to 658,216.32, 987,315.84 and 159,584.64 is: 239,374.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,216.32 : 987,315.84 = 159,584.64 : x
  2. Step 2: Convert to fraction form
    658,216.32/987,315.84 = 159,584.64/x
  3. Step 3: Cross multiply
    658,216.32x = 987,315.84 × 159,584.64
  4. Step 4: Simplify right side
    658,216.32x = 157,560,442,892.70
  5. Step 5: Solve for x
    x = 157,560,442,892.70/658,216.32
  6. Step 6: Final answer
    x = 239,374.87

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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.