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Finding the Fourth Proportional to 542,680.84, 814,028.16 and 205,630.93

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Solution

The fourth proportional to 542,680.84, 814,028.16 and 205,630.93 is: 308,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,680.84 : 814,028.16 = 205,630.93 : x
  2. Step 2: Convert to fraction form
    542,680.84/814,028.16 = 205,630.93/x
  3. Step 3: Cross multiply
    542,680.84x = 814,028.16 × 205,630.93
  4. Step 4: Simplify right side
    542,680.84x = 167,389,367,586.99
  5. Step 5: Solve for x
    x = 167,389,367,586.99/542,680.84
  6. Step 6: Final answer
    x = 308,449.01

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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.