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Finding the Fourth Proportional to 406,727.52, 561,317.58 and 225,496.29

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Solution

The fourth proportional to 406,727.52, 561,317.58 and 225,496.29 is: 311,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,727.52 : 561,317.58 = 225,496.29 : x
  2. Step 2: Convert to fraction form
    406,727.52/561,317.58 = 225,496.29/x
  3. Step 3: Cross multiply
    406,727.52x = 561,317.58 × 225,496.29
  4. Step 4: Simplify right side
    406,727.52x = 126,575,031,801.78
  5. Step 5: Solve for x
    x = 126,575,031,801.78/406,727.52
  6. Step 6: Final answer
    x = 311,203.51

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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.