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Finding the Fourth Proportional to 392,282.64, 588,295.17 and 125,980.16

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Solution

The fourth proportional to 392,282.64, 588,295.17 and 125,980.16 is: 188,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,282.64 : 588,295.17 = 125,980.16 : x
  2. Step 2: Convert to fraction form
    392,282.64/588,295.17 = 125,980.16/x
  3. Step 3: Cross multiply
    392,282.64x = 588,295.17 × 125,980.16
  4. Step 4: Simplify right side
    392,282.64x = 74,113,516,702.35
  5. Step 5: Solve for x
    x = 74,113,516,702.35/392,282.64
  6. Step 6: Final answer
    x = 188,928.87

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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.