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Finding the Fourth Proportional to 406,648.64, 561,167.05 and 225,356.82

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Solution

The fourth proportional to 406,648.64, 561,167.05 and 225,356.82 is: 310,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,648.64 : 561,167.05 = 225,356.82 : x
  2. Step 2: Convert to fraction form
    406,648.64/561,167.05 = 225,356.82/x
  3. Step 3: Cross multiply
    406,648.64x = 561,167.05 × 225,356.82
  4. Step 4: Simplify right side
    406,648.64x = 126,462,821,876.78
  5. Step 5: Solve for x
    x = 126,462,821,876.78/406,648.64
  6. Step 6: Final answer
    x = 310,987.94

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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.