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Finding the Fourth Proportional to 392,017.30, 588,321.87 and 287,108.26

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Solution

The fourth proportional to 392,017.30, 588,321.87 and 287,108.26 is: 430,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,017.30 : 588,321.87 = 287,108.26 : x
  2. Step 2: Convert to fraction form
    392,017.30/588,321.87 = 287,108.26/x
  3. Step 3: Cross multiply
    392,017.30x = 588,321.87 × 287,108.26
  4. Step 4: Simplify right side
    392,017.30x = 168,912,068,415.65
  5. Step 5: Solve for x
    x = 168,912,068,415.65/392,017.30
  6. Step 6: Final answer
    x = 430,879.12

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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.