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Finding the Fourth Proportional to 561,254.82, 841,882.23 and 206,115.18

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Solution

The fourth proportional to 561,254.82, 841,882.23 and 206,115.18 is: 309,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,254.82 : 841,882.23 = 206,115.18 : x
  2. Step 2: Convert to fraction form
    561,254.82/841,882.23 = 206,115.18/x
  3. Step 3: Cross multiply
    561,254.82x = 841,882.23 × 206,115.18
  4. Step 4: Simplify right side
    561,254.82x = 173,524,707,375.25
  5. Step 5: Solve for x
    x = 173,524,707,375.25/561,254.82
  6. Step 6: Final answer
    x = 309,172.77

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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.