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Finding the Fourth Proportional to 322,325.76, 444,741.12 and 188,129.28

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Solution

The fourth proportional to 322,325.76, 444,741.12 and 188,129.28 is: 259,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,325.76 : 444,741.12 = 188,129.28 : x
  2. Step 2: Convert to fraction form
    322,325.76/444,741.12 = 188,129.28/x
  3. Step 3: Cross multiply
    322,325.76x = 444,741.12 × 188,129.28
  4. Step 4: Simplify right side
    322,325.76x = 83,668,826,691.99
  5. Step 5: Solve for x
    x = 83,668,826,691.99/322,325.76
  6. Step 6: Final answer
    x = 259,578.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.