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Finding the Fourth Proportional to 406,820.52, 561,412.24 and 225,531.99

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Solution

The fourth proportional to 406,820.52, 561,412.24 and 225,531.99 is: 311,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,820.52 : 561,412.24 = 225,531.99 : x
  2. Step 2: Convert to fraction form
    406,820.52/561,412.24 = 225,531.99/x
  3. Step 3: Cross multiply
    406,820.52x = 561,412.24 × 225,531.99
  4. Step 4: Simplify right side
    406,820.52x = 126,616,419,697.56
  5. Step 5: Solve for x
    x = 126,616,419,697.56/406,820.52
  6. Step 6: Final answer
    x = 311,234.10

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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.