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Finding the Fourth Proportional to 406,847.20, 561,462.42 and 225,576

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Solution

The fourth proportional to 406,847.20, 561,462.42 and 225,576 is: 311,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,847.20 : 561,462.42 = 225,576 : x
  2. Step 2: Convert to fraction form
    406,847.20/561,462.42 = 225,576/x
  3. Step 3: Cross multiply
    406,847.20x = 561,462.42 × 225,576
  4. Step 4: Simplify right side
    406,847.20x = 126,652,446,853.92
  5. Step 5: Solve for x
    x = 126,652,446,853.92/406,847.20
  6. Step 6: Final answer
    x = 311,302.25

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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.