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Finding the Fourth Proportional to 406,414.02, 609,995.28 and 206,877

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Solution

The fourth proportional to 406,414.02, 609,995.28 and 206,877 is: 310,506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,414.02 : 609,995.28 = 206,877 : x
  2. Step 2: Convert to fraction form
    406,414.02/609,995.28 = 206,877/x
  3. Step 3: Cross multiply
    406,414.02x = 609,995.28 × 206,877
  4. Step 4: Simplify right side
    406,414.02x = 126,193,993,540.56
  5. Step 5: Solve for x
    x = 126,193,993,540.56/406,414.02
  6. Step 6: Final answer
    x = 310,506.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.