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Finding the Fourth Proportional to 542,842, 813,432.62 and 290,158.44

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Solution

The fourth proportional to 542,842, 813,432.62 and 290,158.44 is: 434,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,842 : 813,432.62 = 290,158.44 : x
  2. Step 2: Convert to fraction form
    542,842/813,432.62 = 290,158.44/x
  3. Step 3: Cross multiply
    542,842x = 813,432.62 × 290,158.44
  4. Step 4: Simplify right side
    542,842x = 236,024,340,064.31
  5. Step 5: Solve for x
    x = 236,024,340,064.31/542,842
  6. Step 6: Final answer
    x = 434,793.81

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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.