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Finding the Fourth Proportional to 406,559.79, 561,006 and 225,226.44

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Solution

The fourth proportional to 406,559.79, 561,006 and 225,226.44 is: 310,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,559.79 : 561,006 = 225,226.44 : x
  2. Step 2: Convert to fraction form
    406,559.79/561,006 = 225,226.44/x
  3. Step 3: Cross multiply
    406,559.79x = 561,006 × 225,226.44
  4. Step 4: Simplify right side
    406,559.79x = 126,353,384,198.64
  5. Step 5: Solve for x
    x = 126,353,384,198.64/406,559.79
  6. Step 6: Final answer
    x = 310,786.72

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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.