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Finding the Fourth Proportional to 419,279.85, 628,726.14 and 134,917.47

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Solution

The fourth proportional to 419,279.85, 628,726.14 and 134,917.47 is: 202,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,279.85 : 628,726.14 = 134,917.47 : x
  2. Step 2: Convert to fraction form
    419,279.85/628,726.14 = 134,917.47/x
  3. Step 3: Cross multiply
    419,279.85x = 628,726.14 × 134,917.47
  4. Step 4: Simplify right side
    419,279.85x = 84,826,140,131.67
  5. Step 5: Solve for x
    x = 84,826,140,131.67/419,279.85
  6. Step 6: Final answer
    x = 202,313.90

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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.