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Finding the Fourth Proportional to 392,706.28, 542,254.26 and 320,120.56

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Solution

The fourth proportional to 392,706.28, 542,254.26 and 320,120.56 is: 442,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,706.28 : 542,254.26 = 320,120.56 : x
  2. Step 2: Convert to fraction form
    392,706.28/542,254.26 = 320,120.56/x
  3. Step 3: Cross multiply
    392,706.28x = 542,254.26 × 320,120.56
  4. Step 4: Simplify right side
    392,706.28x = 173,586,737,373.59
  5. Step 5: Solve for x
    x = 173,586,737,373.59/392,706.28
  6. Step 6: Final answer
    x = 442,026.89

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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.