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Finding the Fourth Proportional to 442,027.44, 663,504.92 and 391,748.16

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Solution

The fourth proportional to 442,027.44, 663,504.92 and 391,748.16 is: 588,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,027.44 : 663,504.92 = 391,748.16 : x
  2. Step 2: Convert to fraction form
    442,027.44/663,504.92 = 391,748.16/x
  3. Step 3: Cross multiply
    442,027.44x = 663,504.92 × 391,748.16
  4. Step 4: Simplify right side
    442,027.44x = 259,926,831,560.95
  5. Step 5: Solve for x
    x = 259,926,831,560.95/442,027.44
  6. Step 6: Final answer
    x = 588,033.25

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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.