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Finding the Fourth Proportional to 542,849, 814,278.72 and 205,799

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Solution

The fourth proportional to 542,849, 814,278.72 and 205,799 is: 308,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,849 : 814,278.72 = 205,799 : x
  2. Step 2: Convert to fraction form
    542,849/814,278.72 = 205,799/x
  3. Step 3: Cross multiply
    542,849x = 814,278.72 × 205,799
  4. Step 4: Simplify right side
    542,849x = 167,577,746,297.28
  5. Step 5: Solve for x
    x = 167,577,746,297.28/542,849
  6. Step 6: Final answer
    x = 308,700.48

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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.