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Finding the Fourth Proportional to 406,396.01, 560,820.57 and 225,107.35

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Solution

The fourth proportional to 406,396.01, 560,820.57 and 225,107.35 is: 310,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,396.01 : 560,820.57 = 225,107.35 : x
  2. Step 2: Convert to fraction form
    406,396.01/560,820.57 = 225,107.35/x
  3. Step 3: Cross multiply
    406,396.01x = 560,820.57 × 225,107.35
  4. Step 4: Simplify right side
    406,396.01x = 126,244,832,338.19
  5. Step 5: Solve for x
    x = 126,244,832,338.19/406,396.01
  6. Step 6: Final answer
    x = 310,644.86

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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.