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Finding the Fourth Proportional to 406,876.79, 561,467.48 and 225,578.13

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Solution

The fourth proportional to 406,876.79, 561,467.48 and 225,578.13 is: 311,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,876.79 : 561,467.48 = 225,578.13 : x
  2. Step 2: Convert to fraction form
    406,876.79/561,467.48 = 225,578.13/x
  3. Step 3: Cross multiply
    406,876.79x = 561,467.48 × 225,578.13
  4. Step 4: Simplify right side
    406,876.79x = 126,654,783,066.32
  5. Step 5: Solve for x
    x = 126,654,783,066.32/406,876.79
  6. Step 6: Final answer
    x = 311,285.35

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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.