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Finding the Fourth Proportional to 322,837.76, 445,350.12 and 188,624

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Solution

The fourth proportional to 322,837.76, 445,350.12 and 188,624 is: 260,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,837.76 : 445,350.12 = 188,624 : x
  2. Step 2: Convert to fraction form
    322,837.76/445,350.12 = 188,624/x
  3. Step 3: Cross multiply
    322,837.76x = 445,350.12 × 188,624
  4. Step 4: Simplify right side
    322,837.76x = 84,003,721,034.88
  5. Step 5: Solve for x
    x = 84,003,721,034.88/322,837.76
  6. Step 6: Final answer
    x = 260,204.14

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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.