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Finding the Fourth Proportional to 542,849.40, 814,150.14 and 205,927.47

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Solution

The fourth proportional to 542,849.40, 814,150.14 and 205,927.47 is: 308,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,849.40 : 814,150.14 = 205,927.47 : x
  2. Step 2: Convert to fraction form
    542,849.40/814,150.14 = 205,927.47/x
  3. Step 3: Cross multiply
    542,849.40x = 814,150.14 × 205,927.47
  4. Step 4: Simplify right side
    542,849.40x = 167,655,878,530.35
  5. Step 5: Solve for x
    x = 167,655,878,530.35/542,849.40
  6. Step 6: Final answer
    x = 308,844.18

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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.