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Finding the Fourth Proportional to 406,934.84, 561,576.83 and 225,654.41

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Solution

The fourth proportional to 406,934.84, 561,576.83 and 225,654.41 is: 311,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,934.84 : 561,576.83 = 225,654.41 : x
  2. Step 2: Convert to fraction form
    406,934.84/561,576.83 = 225,654.41/x
  3. Step 3: Cross multiply
    406,934.84x = 561,576.83 × 225,654.41
  4. Step 4: Simplify right side
    406,934.84x = 126,722,284,307.16
  5. Step 5: Solve for x
    x = 126,722,284,307.16/406,934.84
  6. Step 6: Final answer
    x = 311,406.82

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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.