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Finding the Fourth Proportional to 407,097.88, 561,862.29 and 225,868.21

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Solution

The fourth proportional to 407,097.88, 561,862.29 and 225,868.21 is: 311,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,097.88 : 561,862.29 = 225,868.21 : x
  2. Step 2: Convert to fraction form
    407,097.88/561,862.29 = 225,868.21/x
  3. Step 3: Cross multiply
    407,097.88x = 561,862.29 × 225,868.21
  4. Step 4: Simplify right side
    407,097.88x = 126,906,829,708.80
  5. Step 5: Solve for x
    x = 126,906,829,708.80/407,097.88
  6. Step 6: Final answer
    x = 311,735.42

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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.