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Finding the Fourth Proportional to 406,695.68, 561,233.32 and 225,407.04

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Solution

The fourth proportional to 406,695.68, 561,233.32 and 225,407.04 is: 311,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,695.68 : 561,233.32 = 225,407.04 : x
  2. Step 2: Convert to fraction form
    406,695.68/561,233.32 = 225,407.04/x
  3. Step 3: Cross multiply
    406,695.68x = 561,233.32 × 225,407.04
  4. Step 4: Simplify right side
    406,695.68x = 126,505,941,410.57
  5. Step 5: Solve for x
    x = 126,505,941,410.57/406,695.68
  6. Step 6: Final answer
    x = 311,057.99

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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.