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Finding the Fourth Proportional to 392,705.28, 542,252.88 and 320,119.56

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Solution

The fourth proportional to 392,705.28, 542,252.88 and 320,119.56 is: 442,025.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,705.28 : 542,252.88 = 320,119.56 : x
  2. Step 2: Convert to fraction form
    392,705.28/542,252.88 = 320,119.56/x
  3. Step 3: Cross multiply
    392,705.28x = 542,252.88 × 320,119.56
  4. Step 4: Simplify right side
    392,705.28x = 173,585,753,354.33
  5. Step 5: Solve for x
    x = 173,585,753,354.33/392,705.28
  6. Step 6: Final answer
    x = 442,025.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.