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Finding the Fourth Proportional to 406,584.88, 561,078.80 and 225,295.20

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Solution

The fourth proportional to 406,584.88, 561,078.80 and 225,295.20 is: 310,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,584.88 : 561,078.80 = 225,295.20 : x
  2. Step 2: Convert to fraction form
    406,584.88/561,078.80 = 225,295.20/x
  3. Step 3: Cross multiply
    406,584.88x = 561,078.80 × 225,295.20
  4. Step 4: Simplify right side
    406,584.88x = 126,408,360,461.76
  5. Step 5: Solve for x
    x = 126,408,360,461.76/406,584.88
  6. Step 6: Final answer
    x = 310,902.76

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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.