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Finding the Fourth Proportional to 406,604.09, 561,116.96 and 225,319.05

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Solution

The fourth proportional to 406,604.09, 561,116.96 and 225,319.05 is: 310,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,604.09 : 561,116.96 = 225,319.05 : x
  2. Step 2: Convert to fraction form
    406,604.09/561,116.96 = 225,319.05/x
  3. Step 3: Cross multiply
    406,604.09x = 561,116.96 × 225,319.05
  4. Step 4: Simplify right side
    406,604.09x = 126,430,339,239.49
  5. Step 5: Solve for x
    x = 126,430,339,239.49/406,604.09
  6. Step 6: Final answer
    x = 310,942.13

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1.5x scale

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.