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Finding the Fourth Proportional to 542,815.44, 814,724.28 and 391,170

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Solution

The fourth proportional to 542,815.44, 814,724.28 and 391,170 is: 587,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,815.44 : 814,724.28 = 391,170 : x
  2. Step 2: Convert to fraction form
    542,815.44/814,724.28 = 391,170/x
  3. Step 3: Cross multiply
    542,815.44x = 814,724.28 × 391,170
  4. Step 4: Simplify right side
    542,815.44x = 318,695,696,607.60
  5. Step 5: Solve for x
    x = 318,695,696,607.60/542,815.44
  6. Step 6: Final answer
    x = 587,116.12

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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.