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Finding the Fourth Proportional to 406,902.50, 561,532.21 and 225,622.08

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Solution

The fourth proportional to 406,902.50, 561,532.21 and 225,622.08 is: 311,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,902.50 : 561,532.21 = 225,622.08 : x
  2. Step 2: Convert to fraction form
    406,902.50/561,532.21 = 225,622.08/x
  3. Step 3: Cross multiply
    406,902.50x = 561,532.21 × 225,622.08
  4. Step 4: Simplify right side
    406,902.50x = 126,694,065,207.20
  5. Step 5: Solve for x
    x = 126,694,065,207.20/406,902.50
  6. Step 6: Final answer
    x = 311,362.22

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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.