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Finding the Fourth Proportional to 391,118.22, 586,677.33 and 204,085.98

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Solution

The fourth proportional to 391,118.22, 586,677.33 and 204,085.98 is: 306,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,118.22 : 586,677.33 = 204,085.98 : x
  2. Step 2: Convert to fraction form
    391,118.22/586,677.33 = 204,085.98/x
  3. Step 3: Cross multiply
    391,118.22x = 586,677.33 × 204,085.98
  4. Step 4: Simplify right side
    391,118.22x = 119,732,617,836.83
  5. Step 5: Solve for x
    x = 119,732,617,836.83/391,118.22
  6. Step 6: Final answer
    x = 306,128.97

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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.