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Finding the Fourth Proportional to 318,856.44, 477,956.60 and 141,447

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Solution

The fourth proportional to 318,856.44, 477,956.60 and 141,447 is: 212,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,856.44 : 477,956.60 = 141,447 : x
  2. Step 2: Convert to fraction form
    318,856.44/477,956.60 = 141,447/x
  3. Step 3: Cross multiply
    318,856.44x = 477,956.60 × 141,447
  4. Step 4: Simplify right side
    318,856.44x = 67,605,527,200.20
  5. Step 5: Solve for x
    x = 67,605,527,200.20/318,856.44
  6. Step 6: Final answer
    x = 212,024.97

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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.