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Finding the Fourth Proportional to 392,908.76, 542,279.32 and 231,803.42

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Solution

The fourth proportional to 392,908.76, 542,279.32 and 231,803.42 is: 319,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,908.76 : 542,279.32 = 231,803.42 : x
  2. Step 2: Convert to fraction form
    392,908.76/542,279.32 = 231,803.42/x
  3. Step 3: Cross multiply
    392,908.76x = 542,279.32 × 231,803.42
  4. Step 4: Simplify right side
    392,908.76x = 125,702,200,971.27
  5. Step 5: Solve for x
    x = 125,702,200,971.27/392,908.76
  6. Step 6: Final answer
    x = 319,927.20

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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.