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Finding the Fourth Proportional to 542,817.44, 814,727.28 and 391,172

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Solution

The fourth proportional to 542,817.44, 814,727.28 and 391,172 is: 587,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,817.44 : 814,727.28 = 391,172 : x
  2. Step 2: Convert to fraction form
    542,817.44/814,727.28 = 391,172/x
  3. Step 3: Cross multiply
    542,817.44x = 814,727.28 × 391,172
  4. Step 4: Simplify right side
    542,817.44x = 318,698,499,572.16
  5. Step 5: Solve for x
    x = 318,698,499,572.16/542,817.44
  6. Step 6: Final answer
    x = 587,119.12

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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.