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Finding the Fourth Proportional to 406,562.40, 561,055.56 and 225,286.07

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Solution

The fourth proportional to 406,562.40, 561,055.56 and 225,286.07 is: 310,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,562.40 : 561,055.56 = 225,286.07 : x
  2. Step 2: Convert to fraction form
    406,562.40/561,055.56 = 225,286.07/x
  3. Step 3: Cross multiply
    406,562.40x = 561,055.56 × 225,286.07
  4. Step 4: Simplify right side
    406,562.40x = 126,398,002,164.05
  5. Step 5: Solve for x
    x = 126,398,002,164.05/406,562.40
  6. Step 6: Final answer
    x = 310,894.47

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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.