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Finding the Fourth Proportional to 406,357.45, 560,778.05 and 225,072.57

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Solution

The fourth proportional to 406,357.45, 560,778.05 and 225,072.57 is: 310,602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,357.45 : 560,778.05 = 225,072.57 : x
  2. Step 2: Convert to fraction form
    406,357.45/560,778.05 = 225,072.57/x
  3. Step 3: Cross multiply
    406,357.45x = 560,778.05 × 225,072.57
  4. Step 4: Simplify right side
    406,357.45x = 126,215,756,913.09
  5. Step 5: Solve for x
    x = 126,215,756,913.09/406,357.45
  6. Step 6: Final answer
    x = 310,602.79

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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.