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Finding the Fourth Proportional to 342,377.45, 513,745.25 and 140,123.69

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Solution

The fourth proportional to 342,377.45, 513,745.25 and 140,123.69 is: 210,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,377.45 : 513,745.25 = 140,123.69 : x
  2. Step 2: Convert to fraction form
    342,377.45/513,745.25 = 140,123.69/x
  3. Step 3: Cross multiply
    342,377.45x = 513,745.25 × 140,123.69
  4. Step 4: Simplify right side
    342,377.45x = 71,987,880,149.97
  5. Step 5: Solve for x
    x = 71,987,880,149.97/342,377.45
  6. Step 6: Final answer
    x = 210,258.82

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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.