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Finding the Fourth Proportional to 218,867.67, 328,141.67 and 147,613.19

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Solution

The fourth proportional to 218,867.67, 328,141.67 and 147,613.19 is: 221,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,867.67 : 328,141.67 = 147,613.19 : x
  2. Step 2: Convert to fraction form
    218,867.67/328,141.67 = 147,613.19/x
  3. Step 3: Cross multiply
    218,867.67x = 328,141.67 × 147,613.19
  4. Step 4: Simplify right side
    218,867.67x = 48,438,036,301.85
  5. Step 5: Solve for x
    x = 48,438,036,301.85/218,867.67
  6. Step 6: Final answer
    x = 221,311.97

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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.