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Finding the Fourth Proportional to 406,433.89, 560,871.42 and 225,145.26

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Solution

The fourth proportional to 406,433.89, 560,871.42 and 225,145.26 is: 310,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,433.89 : 560,871.42 = 225,145.26 : x
  2. Step 2: Convert to fraction form
    406,433.89/560,871.42 = 225,145.26/x
  3. Step 3: Cross multiply
    406,433.89x = 560,871.42 × 225,145.26
  4. Step 4: Simplify right side
    406,433.89x = 126,277,541,682.47
  5. Step 5: Solve for x
    x = 126,277,541,682.47/406,433.89
  6. Step 6: Final answer
    x = 310,696.39

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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.