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Finding the Fourth Proportional to 561,254.04, 842,213.21 and 206,517.17

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Solution

The fourth proportional to 561,254.04, 842,213.21 and 206,517.17 is: 309,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,254.04 : 842,213.21 = 206,517.17 : x
  2. Step 2: Convert to fraction form
    561,254.04/842,213.21 = 206,517.17/x
  3. Step 3: Cross multiply
    561,254.04x = 842,213.21 × 206,517.17
  4. Step 4: Simplify right side
    561,254.04x = 173,931,483,422.16
  5. Step 5: Solve for x
    x = 173,931,483,422.16/561,254.04
  6. Step 6: Final answer
    x = 309,897.96

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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.