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Finding the Fourth Proportional to 406,897.17, 561,576.20 and 225,649.41

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Solution

The fourth proportional to 406,897.17, 561,576.20 and 225,649.41 is: 311,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,897.17 : 561,576.20 = 225,649.41 : x
  2. Step 2: Convert to fraction form
    406,897.17/561,576.20 = 225,649.41/x
  3. Step 3: Cross multiply
    406,897.17x = 561,576.20 × 225,649.41
  4. Step 4: Simplify right side
    406,897.17x = 126,719,338,200.04
  5. Step 5: Solve for x
    x = 126,719,338,200.04/406,897.17
  6. Step 6: Final answer
    x = 311,428.41

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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.