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Finding the Fourth Proportional to 542,851.40, 814,153.14 and 205,929.47

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Solution

The fourth proportional to 542,851.40, 814,153.14 and 205,929.47 is: 308,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,851.40 : 814,153.14 = 205,929.47 : x
  2. Step 2: Convert to fraction form
    542,851.40/814,153.14 = 205,929.47/x
  3. Step 3: Cross multiply
    542,851.40x = 814,153.14 × 205,929.47
  4. Step 4: Simplify right side
    542,851.40x = 167,658,124,619.04
  5. Step 5: Solve for x
    x = 167,658,124,619.04/542,851.40
  6. Step 6: Final answer
    x = 308,847.18

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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.