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Finding the Fourth Proportional to 391,105.72, 586,658.58 and 204,073.48

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Solution

The fourth proportional to 391,105.72, 586,658.58 and 204,073.48 is: 306,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,105.72 : 586,658.58 = 204,073.48 : x
  2. Step 2: Convert to fraction form
    391,105.72/586,658.58 = 204,073.48/x
  3. Step 3: Cross multiply
    391,105.72x = 586,658.58 × 204,073.48
  4. Step 4: Simplify right side
    391,105.72x = 119,721,457,992.46
  5. Step 5: Solve for x
    x = 119,721,457,992.46/391,105.72
  6. Step 6: Final answer
    x = 306,110.22

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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.