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Finding the Fourth Proportional to 342,439.35, 513,729.09 and 117,770.55

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Solution

The fourth proportional to 342,439.35, 513,729.09 and 117,770.55 is: 176,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,439.35 : 513,729.09 = 117,770.55 : x
  2. Step 2: Convert to fraction form
    342,439.35/513,729.09 = 117,770.55/x
  3. Step 3: Cross multiply
    342,439.35x = 513,729.09 × 117,770.55
  4. Step 4: Simplify right side
    342,439.35x = 60,502,157,480.30
  5. Step 5: Solve for x
    x = 60,502,157,480.30/342,439.35
  6. Step 6: Final answer
    x = 176,679.92

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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.