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Finding the Fourth Proportional to 318,847.44, 477,943.11 and 141,438

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Solution

The fourth proportional to 318,847.44, 477,943.11 and 141,438 is: 212,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,847.44 : 477,943.11 = 141,438 : x
  2. Step 2: Convert to fraction form
    318,847.44/477,943.11 = 141,438/x
  3. Step 3: Cross multiply
    318,847.44x = 477,943.11 × 141,438
  4. Step 4: Simplify right side
    318,847.44x = 67,599,317,592.18
  5. Step 5: Solve for x
    x = 67,599,317,592.18/318,847.44
  6. Step 6: Final answer
    x = 212,011.48

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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.