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Finding the Fourth Proportional to 225,829, 311,640.42 and 123,856.84

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Solution

The fourth proportional to 225,829, 311,640.42 and 123,856.84 is: 170,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,829 : 311,640.42 = 123,856.84 : x
  2. Step 2: Convert to fraction form
    225,829/311,640.42 = 123,856.84/x
  3. Step 3: Cross multiply
    225,829x = 311,640.42 × 123,856.84
  4. Step 4: Simplify right side
    225,829x = 38,598,797,637.47
  5. Step 5: Solve for x
    x = 38,598,797,637.47/225,829
  6. Step 6: Final answer
    x = 170,920.46

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1.5x scale

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.