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Finding the Fourth Proportional to 392,856.75, 542,116.80 and 231,674.85

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Solution

The fourth proportional to 392,856.75, 542,116.80 and 231,674.85 is: 319,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,856.75 : 542,116.80 = 231,674.85 : x
  2. Step 2: Convert to fraction form
    392,856.75/542,116.80 = 231,674.85/x
  3. Step 3: Cross multiply
    392,856.75x = 542,116.80 × 231,674.85
  4. Step 4: Simplify right side
    392,856.75x = 125,594,828,322.48
  5. Step 5: Solve for x
    x = 125,594,828,322.48/392,856.75
  6. Step 6: Final answer
    x = 319,696.25

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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.