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Finding the Fourth Proportional to 355,230.16, 490,211.92 and 194,081.76

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Solution

The fourth proportional to 355,230.16, 490,211.92 and 194,081.76 is: 267,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,230.16 : 490,211.92 = 194,081.76 : x
  2. Step 2: Convert to fraction form
    355,230.16/490,211.92 = 194,081.76/x
  3. Step 3: Cross multiply
    355,230.16x = 490,211.92 × 194,081.76
  4. Step 4: Simplify right side
    355,230.16x = 95,141,192,206.58
  5. Step 5: Solve for x
    x = 95,141,192,206.58/355,230.16
  6. Step 6: Final answer
    x = 267,829.71

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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.