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Finding the Fourth Proportional to 406,613.88, 561,074.04 and 225,317.07

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Solution

The fourth proportional to 406,613.88, 561,074.04 and 225,317.07 is: 310,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,613.88 : 561,074.04 = 225,317.07 : x
  2. Step 2: Convert to fraction form
    406,613.88/561,074.04 = 225,317.07/x
  3. Step 3: Cross multiply
    406,613.88x = 561,074.04 × 225,317.07
  4. Step 4: Simplify right side
    406,613.88x = 126,419,558,745.86
  5. Step 5: Solve for x
    x = 126,419,558,745.86/406,613.88
  6. Step 6: Final answer
    x = 310,908.12

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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.