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Finding the Fourth Proportional to 392,896.86, 542,199.83 and 229,562.96

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Solution

The fourth proportional to 392,896.86, 542,199.83 and 229,562.96 is: 316,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,896.86 : 542,199.83 = 229,562.96 : x
  2. Step 2: Convert to fraction form
    392,896.86/542,199.83 = 229,562.96/x
  3. Step 3: Cross multiply
    392,896.86x = 542,199.83 × 229,562.96
  4. Step 4: Simplify right side
    392,896.86x = 124,468,995,175.30
  5. Step 5: Solve for x
    x = 124,468,995,175.30/392,896.86
  6. Step 6: Final answer
    x = 316,798.15

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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.