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Finding the Fourth Proportional to 391,868.26, 588,064.22 and 142,550.26

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Solution

The fourth proportional to 391,868.26, 588,064.22 and 142,550.26 is: 213,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,868.26 : 588,064.22 = 142,550.26 : x
  2. Step 2: Convert to fraction form
    391,868.26/588,064.22 = 142,550.26/x
  3. Step 3: Cross multiply
    391,868.26x = 588,064.22 × 142,550.26
  4. Step 4: Simplify right side
    391,868.26x = 83,828,707,457.70
  5. Step 5: Solve for x
    x = 83,828,707,457.70/391,868.26
  6. Step 6: Final answer
    x = 213,920.64

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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.