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Finding the Fourth Proportional to 392,078.80, 587,340.60 and 233,837.20

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Solution

The fourth proportional to 392,078.80, 587,340.60 and 233,837.20 is: 350,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,078.80 : 587,340.60 = 233,837.20 : x
  2. Step 2: Convert to fraction form
    392,078.80/587,340.60 = 233,837.20/x
  3. Step 3: Cross multiply
    392,078.80x = 587,340.60 × 233,837.20
  4. Step 4: Simplify right side
    392,078.80x = 137,342,081,350.32
  5. Step 5: Solve for x
    x = 137,342,081,350.32/392,078.80
  6. Step 6: Final answer
    x = 350,292.04

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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.