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Finding the Fourth Proportional to 391,256.80, 586,010.40 and 204,049.60

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Solution

The fourth proportional to 391,256.80, 586,010.40 and 204,049.60 is: 305,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,256.80 : 586,010.40 = 204,049.60 : x
  2. Step 2: Convert to fraction form
    391,256.80/586,010.40 = 204,049.60/x
  3. Step 3: Cross multiply
    391,256.80x = 586,010.40 × 204,049.60
  4. Step 4: Simplify right side
    391,256.80x = 119,575,187,715.84
  5. Step 5: Solve for x
    x = 119,575,187,715.84/391,256.80
  6. Step 6: Final answer
    x = 305,618.17

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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.