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Finding the Fourth Proportional to 392,912.76, 542,284.84 and 231,807.42

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Solution

The fourth proportional to 392,912.76, 542,284.84 and 231,807.42 is: 319,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,912.76 : 542,284.84 = 231,807.42 : x
  2. Step 2: Convert to fraction form
    392,912.76/542,284.84 = 231,807.42/x
  3. Step 3: Cross multiply
    392,912.76x = 542,284.84 × 231,807.42
  4. Step 4: Simplify right side
    392,912.76x = 125,705,649,665.51
  5. Step 5: Solve for x
    x = 125,705,649,665.51/392,912.76
  6. Step 6: Final answer
    x = 319,932.72

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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.