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Finding the Fourth Proportional to 342,180.30, 513,221.85 and 117,551.10

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Solution

The fourth proportional to 342,180.30, 513,221.85 and 117,551.10 is: 176,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,180.30 : 513,221.85 = 117,551.10 : x
  2. Step 2: Convert to fraction form
    342,180.30/513,221.85 = 117,551.10/x
  3. Step 3: Cross multiply
    342,180.30x = 513,221.85 × 117,551.10
  4. Step 4: Simplify right side
    342,180.30x = 60,329,793,011.54
  5. Step 5: Solve for x
    x = 60,329,793,011.54/342,180.30
  6. Step 6: Final answer
    x = 176,309.95

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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.