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Finding the Fourth Proportional to 391,129.60, 586,233.60 and 204,044.80

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Solution

The fourth proportional to 391,129.60, 586,233.60 and 204,044.80 is: 305,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,129.60 : 586,233.60 = 204,044.80 : x
  2. Step 2: Convert to fraction form
    391,129.60/586,233.60 = 204,044.80/x
  3. Step 3: Cross multiply
    391,129.60x = 586,233.60 × 204,044.80
  4. Step 4: Simplify right side
    391,129.60x = 119,617,917,665.28
  5. Step 5: Solve for x
    x = 119,617,917,665.28/391,129.60
  6. Step 6: Final answer
    x = 305,826.81

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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.