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Finding the Fourth Proportional to 406,668.47, 561,202.47 and 225,407.66

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Solution

The fourth proportional to 406,668.47, 561,202.47 and 225,407.66 is: 311,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,668.47 : 561,202.47 = 225,407.66 : x
  2. Step 2: Convert to fraction form
    406,668.47/561,202.47 = 225,407.66/x
  3. Step 3: Cross multiply
    406,668.47x = 561,202.47 × 225,407.66
  4. Step 4: Simplify right side
    406,668.47x = 126,499,332,742.91
  5. Step 5: Solve for x
    x = 126,499,332,742.91/406,668.47
  6. Step 6: Final answer
    x = 311,062.56

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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.