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Finding the Fourth Proportional to 406,994.88, 561,657.96 and 225,709.32

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Solution

The fourth proportional to 406,994.88, 561,657.96 and 225,709.32 is: 311,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,994.88 : 561,657.96 = 225,709.32 : x
  2. Step 2: Convert to fraction form
    406,994.88/561,657.96 = 225,709.32/x
  3. Step 3: Cross multiply
    406,994.88x = 561,657.96 × 225,709.32
  4. Step 4: Simplify right side
    406,994.88x = 126,771,436,224.19
  5. Step 5: Solve for x
    x = 126,771,436,224.19/406,994.88
  6. Step 6: Final answer
    x = 311,481.65

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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.