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Finding the Fourth Proportional to 392,739.92, 541,887 and 231,582.32

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Solution

The fourth proportional to 392,739.92, 541,887 and 231,582.32 is: 319,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,739.92 : 541,887 = 231,582.32 : x
  2. Step 2: Convert to fraction form
    392,739.92/541,887 = 231,582.32/x
  3. Step 3: Cross multiply
    392,739.92x = 541,887 × 231,582.32
  4. Step 4: Simplify right side
    392,739.92x = 125,491,448,637.84
  5. Step 5: Solve for x
    x = 125,491,448,637.84/392,739.92
  6. Step 6: Final answer
    x = 319,528.12

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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.