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Finding the Fourth Proportional to 391,100.20, 586,412.70 and 154,169.80

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Solution

The fourth proportional to 391,100.20, 586,412.70 and 154,169.80 is: 231,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,100.20 : 586,412.70 = 154,169.80 : x
  2. Step 2: Convert to fraction form
    391,100.20/586,412.70 = 154,169.80/x
  3. Step 3: Cross multiply
    391,100.20x = 586,412.70 × 154,169.80
  4. Step 4: Simplify right side
    391,100.20x = 90,407,128,676.46
  5. Step 5: Solve for x
    x = 90,407,128,676.46/391,100.20
  6. Step 6: Final answer
    x = 231,161.04

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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.