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Finding the Fourth Proportional to 406,678.53, 561,201.09 and 225,393.56

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Solution

The fourth proportional to 406,678.53, 561,201.09 and 225,393.56 is: 311,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,678.53 : 561,201.09 = 225,393.56 : x
  2. Step 2: Convert to fraction form
    406,678.53/561,201.09 = 225,393.56/x
  3. Step 3: Cross multiply
    406,678.53x = 561,201.09 × 225,393.56
  4. Step 4: Simplify right side
    406,678.53x = 126,491,108,744.98
  5. Step 5: Solve for x
    x = 126,491,108,744.98/406,678.53
  6. Step 6: Final answer
    x = 311,034.64

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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.