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Finding the Fourth Proportional to 392,865.75, 542,129.22 and 231,683.85

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Solution

The fourth proportional to 392,865.75, 542,129.22 and 231,683.85 is: 319,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,865.75 : 542,129.22 = 231,683.85 : x
  2. Step 2: Convert to fraction form
    392,865.75/542,129.22 = 231,683.85/x
  3. Step 3: Cross multiply
    392,865.75x = 542,129.22 × 231,683.85
  4. Step 4: Simplify right side
    392,865.75x = 125,602,584,887.10
  5. Step 5: Solve for x
    x = 125,602,584,887.10/392,865.75
  6. Step 6: Final answer
    x = 319,708.67

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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.