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Finding the Fourth Proportional to 406,604.78, 561,117.89 and 225,319.73

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Solution

The fourth proportional to 406,604.78, 561,117.89 and 225,319.73 is: 310,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,604.78 : 561,117.89 = 225,319.73 : x
  2. Step 2: Convert to fraction form
    406,604.78/561,117.89 = 225,319.73/x
  3. Step 3: Cross multiply
    406,604.78x = 561,117.89 × 225,319.73
  4. Step 4: Simplify right side
    406,604.78x = 126,430,927,540.78
  5. Step 5: Solve for x
    x = 126,430,927,540.78/406,604.78
  6. Step 6: Final answer
    x = 310,943.05

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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.