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Finding the Fourth Proportional to 342,638.10, 513,977.31 and 132,277.14

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Solution

The fourth proportional to 342,638.10, 513,977.31 and 132,277.14 is: 198,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,638.10 : 513,977.31 = 132,277.14 : x
  2. Step 2: Convert to fraction form
    342,638.10/513,977.31 = 132,277.14/x
  3. Step 3: Cross multiply
    342,638.10x = 513,977.31 × 132,277.14
  4. Step 4: Simplify right side
    342,638.10x = 67,987,448,591.69
  5. Step 5: Solve for x
    x = 67,987,448,591.69/342,638.10
  6. Step 6: Final answer
    x = 198,423.49

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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.