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Finding the Fourth Proportional to 406,657.11, 561,186.79 and 225,396.28

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Solution

The fourth proportional to 406,657.11, 561,186.79 and 225,396.28 is: 311,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,657.11 : 561,186.79 = 225,396.28 : x
  2. Step 2: Convert to fraction form
    406,657.11/561,186.79 = 225,396.28/x
  3. Step 3: Cross multiply
    406,657.11x = 561,186.79 × 225,396.28
  4. Step 4: Simplify right side
    406,657.11x = 126,489,414,851.14
  5. Step 5: Solve for x
    x = 126,489,414,851.14/406,657.11
  6. Step 6: Final answer
    x = 311,046.85

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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.