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Finding the Fourth Proportional to 542,698.38, 814,086.45 and 143,335.17

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Solution

The fourth proportional to 542,698.38, 814,086.45 and 143,335.17 is: 215,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,698.38 : 814,086.45 = 143,335.17 : x
  2. Step 2: Convert to fraction form
    542,698.38/814,086.45 = 143,335.17/x
  3. Step 3: Cross multiply
    542,698.38x = 814,086.45 × 143,335.17
  4. Step 4: Simplify right side
    542,698.38x = 116,687,219,705.45
  5. Step 5: Solve for x
    x = 116,687,219,705.45/542,698.38
  6. Step 6: Final answer
    x = 215,013.02

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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.