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Finding the Fourth Proportional to 318,515.56, 477,612.14 and 141,077

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Solution

The fourth proportional to 318,515.56, 477,612.14 and 141,077 is: 211,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,515.56 : 477,612.14 = 141,077 : x
  2. Step 2: Convert to fraction form
    318,515.56/477,612.14 = 141,077/x
  3. Step 3: Cross multiply
    318,515.56x = 477,612.14 × 141,077
  4. Step 4: Simplify right side
    318,515.56x = 67,380,087,874.78
  5. Step 5: Solve for x
    x = 67,380,087,874.78/318,515.56
  6. Step 6: Final answer
    x = 211,544.10

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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.