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Finding the Fourth Proportional to 391,617.60, 586,965.60 and 204,532.80

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Solution

The fourth proportional to 391,617.60, 586,965.60 and 204,532.80 is: 306,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,617.60 : 586,965.60 = 204,532.80 : x
  2. Step 2: Convert to fraction form
    391,617.60/586,965.60 = 204,532.80/x
  3. Step 3: Cross multiply
    391,617.60x = 586,965.60 × 204,532.80
  4. Step 4: Simplify right side
    391,617.60x = 120,053,717,671.68
  5. Step 5: Solve for x
    x = 120,053,717,671.68/391,617.60
  6. Step 6: Final answer
    x = 306,558.53

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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.