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Finding the Fourth Proportional to 406,693.68, 561,230.56 and 225,405.04

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Solution

The fourth proportional to 406,693.68, 561,230.56 and 225,405.04 is: 311,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,693.68 : 561,230.56 = 225,405.04 : x
  2. Step 2: Convert to fraction form
    406,693.68/561,230.56 = 225,405.04/x
  3. Step 3: Cross multiply
    406,693.68x = 561,230.56 × 225,405.04
  4. Step 4: Simplify right side
    406,693.68x = 126,504,196,826.02
  5. Step 5: Solve for x
    x = 126,504,196,826.02/406,693.68
  6. Step 6: Final answer
    x = 311,055.23

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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.