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Finding the Fourth Proportional to 252,407.45, 378,529.20 and 83,882.49

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Solution

The fourth proportional to 252,407.45, 378,529.20 and 83,882.49 is: 125,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,407.45 : 378,529.20 = 83,882.49 : x
  2. Step 2: Convert to fraction form
    252,407.45/378,529.20 = 83,882.49/x
  3. Step 3: Cross multiply
    252,407.45x = 378,529.20 × 83,882.49
  4. Step 4: Simplify right side
    252,407.45x = 31,751,971,833.71
  5. Step 5: Solve for x
    x = 31,751,971,833.71/252,407.45
  6. Step 6: Final answer
    x = 125,796.49

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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.