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Finding the Fourth Proportional to 226,716.10, 340,074.15 and 215,829.70

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Solution

The fourth proportional to 226,716.10, 340,074.15 and 215,829.70 is: 323,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,716.10 : 340,074.15 = 215,829.70 : x
  2. Step 2: Convert to fraction form
    226,716.10/340,074.15 = 215,829.70/x
  3. Step 3: Cross multiply
    226,716.10x = 340,074.15 × 215,829.70
  4. Step 4: Simplify right side
    226,716.10x = 73,398,101,772.26
  5. Step 5: Solve for x
    x = 73,398,101,772.26/226,716.10
  6. Step 6: Final answer
    x = 323,744.55

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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.