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Finding the Fourth Proportional to 392,318.64, 541,439.64 and 231,225.66

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Solution

The fourth proportional to 392,318.64, 541,439.64 and 231,225.66 is: 319,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,318.64 : 541,439.64 = 231,225.66 : x
  2. Step 2: Convert to fraction form
    392,318.64/541,439.64 = 231,225.66/x
  3. Step 3: Cross multiply
    392,318.64x = 541,439.64 × 231,225.66
  4. Step 4: Simplify right side
    392,318.64x = 125,194,738,109.16
  5. Step 5: Solve for x
    x = 125,194,738,109.16/392,318.64
  6. Step 6: Final answer
    x = 319,114.94

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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.