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Finding the Fourth Proportional to 406,620.50, 561,137.61 and 225,335.42

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Solution

The fourth proportional to 406,620.50, 561,137.61 and 225,335.42 is: 310,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,620.50 : 561,137.61 = 225,335.42 : x
  2. Step 2: Convert to fraction form
    406,620.50/561,137.61 = 225,335.42/x
  3. Step 3: Cross multiply
    406,620.50x = 561,137.61 × 225,335.42
  4. Step 4: Simplify right side
    406,620.50x = 126,444,176,221.46
  5. Step 5: Solve for x
    x = 126,444,176,221.46/406,620.50
  6. Step 6: Final answer
    x = 310,963.61

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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.