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Finding the Fourth Proportional to 392,016.30, 588,320.37 and 287,107.26

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Solution

The fourth proportional to 392,016.30, 588,320.37 and 287,107.26 is: 430,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,016.30 : 588,320.37 = 287,107.26 : x
  2. Step 2: Convert to fraction form
    392,016.30/588,320.37 = 287,107.26/x
  3. Step 3: Cross multiply
    392,016.30x = 588,320.37 × 287,107.26
  4. Step 4: Simplify right side
    392,016.30x = 168,911,049,432.89
  5. Step 5: Solve for x
    x = 168,911,049,432.89/392,016.30
  6. Step 6: Final answer
    x = 430,877.62

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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.