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Finding the Fourth Proportional to 392,691.80, 589,475.10 and 215,544.80

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Solution

The fourth proportional to 392,691.80, 589,475.10 and 215,544.80 is: 323,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,691.80 : 589,475.10 = 215,544.80 : x
  2. Step 2: Convert to fraction form
    392,691.80/589,475.10 = 215,544.80/x
  3. Step 3: Cross multiply
    392,691.80x = 589,475.10 × 215,544.80
  4. Step 4: Simplify right side
    392,691.80x = 127,058,292,534.48
  5. Step 5: Solve for x
    x = 127,058,292,534.48/392,691.80
  6. Step 6: Final answer
    x = 323,557.28

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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.