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Finding the Fourth Proportional to 420,494.75, 580,245.33 and 234,211.95

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Solution

The fourth proportional to 420,494.75, 580,245.33 and 234,211.95 is: 323,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,494.75 : 580,245.33 = 234,211.95 : x
  2. Step 2: Convert to fraction form
    420,494.75/580,245.33 = 234,211.95/x
  3. Step 3: Cross multiply
    420,494.75x = 580,245.33 × 234,211.95
  4. Step 4: Simplify right side
    420,494.75x = 135,900,390,217.69
  5. Step 5: Solve for x
    x = 135,900,390,217.69/420,494.75
  6. Step 6: Final answer
    x = 323,191.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.