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Finding the Fourth Proportional to 391,130.40, 586,306.80 and 180,400.80

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Solution

The fourth proportional to 391,130.40, 586,306.80 and 180,400.80 is: 270,421.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,130.40 : 586,306.80 = 180,400.80 : x
  2. Step 2: Convert to fraction form
    391,130.40/586,306.80 = 180,400.80/x
  3. Step 3: Cross multiply
    391,130.40x = 586,306.80 × 180,400.80
  4. Step 4: Simplify right side
    391,130.40x = 105,770,215,765.44
  5. Step 5: Solve for x
    x = 105,770,215,765.44/391,130.40
  6. Step 6: Final answer
    x = 270,421.87

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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.