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Finding the Fourth Proportional to 392,862, 542,124.05 and 231,680.10

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Solution

The fourth proportional to 392,862, 542,124.05 and 231,680.10 is: 319,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,862 : 542,124.05 = 231,680.10 : x
  2. Step 2: Convert to fraction form
    392,862/542,124.05 = 231,680.10/x
  3. Step 3: Cross multiply
    392,862x = 542,124.05 × 231,680.10
  4. Step 4: Simplify right side
    392,862x = 125,599,352,958.01
  5. Step 5: Solve for x
    x = 125,599,352,958.01/392,862
  6. Step 6: Final answer
    x = 319,703.49

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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.