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Finding the Fourth Proportional to 342,404.20, 513,679.20 and 105,770.80

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Solution

The fourth proportional to 342,404.20, 513,679.20 and 105,770.80 is: 158,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,404.20 : 513,679.20 = 105,770.80 : x
  2. Step 2: Convert to fraction form
    342,404.20/513,679.20 = 105,770.80/x
  3. Step 3: Cross multiply
    342,404.20x = 513,679.20 × 105,770.80
  4. Step 4: Simplify right side
    342,404.20x = 54,332,259,927.36
  5. Step 5: Solve for x
    x = 54,332,259,927.36/342,404.20
  6. Step 6: Final answer
    x = 158,678.72

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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.