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Finding the Fourth Proportional to 625,891.76, 938,968.32 and 205,134.56

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Solution

The fourth proportional to 625,891.76, 938,968.32 and 205,134.56 is: 307,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,891.76 : 938,968.32 = 205,134.56 : x
  2. Step 2: Convert to fraction form
    625,891.76/938,968.32 = 205,134.56/x
  3. Step 3: Cross multiply
    625,891.76x = 938,968.32 × 205,134.56
  4. Step 4: Simplify right side
    625,891.76x = 192,614,853,177.14
  5. Step 5: Solve for x
    x = 192,614,853,177.14/625,891.76
  6. Step 6: Final answer
    x = 307,744.67

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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.