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Finding the Fourth Proportional to 406,562.90, 561,056.25 and 225,286.57

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Solution

The fourth proportional to 406,562.90, 561,056.25 and 225,286.57 is: 310,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,562.90 : 561,056.25 = 225,286.57 : x
  2. Step 2: Convert to fraction form
    406,562.90/561,056.25 = 225,286.57/x
  3. Step 3: Cross multiply
    406,562.90x = 561,056.25 × 225,286.57
  4. Step 4: Simplify right side
    406,562.90x = 126,398,438,139.56
  5. Step 5: Solve for x
    x = 126,398,438,139.56/406,562.90
  6. Step 6: Final answer
    x = 310,895.16

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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.