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Finding the Fourth Proportional to 542,236.08, 813,456.42 and 205,377.60

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Solution

The fourth proportional to 542,236.08, 813,456.42 and 205,377.60 is: 308,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,236.08 : 813,456.42 = 205,377.60 : x
  2. Step 2: Convert to fraction form
    542,236.08/813,456.42 = 205,377.60/x
  3. Step 3: Cross multiply
    542,236.08x = 813,456.42 × 205,377.60
  4. Step 4: Simplify right side
    542,236.08x = 167,065,727,244.19
  5. Step 5: Solve for x
    x = 167,065,727,244.19/542,236.08
  6. Step 6: Final answer
    x = 308,105.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.