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Finding the Fourth Proportional to 542,705.94, 814,097.79 and 143,342.73

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Solution

The fourth proportional to 542,705.94, 814,097.79 and 143,342.73 is: 215,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,705.94 : 814,097.79 = 143,342.73 : x
  2. Step 2: Convert to fraction form
    542,705.94/814,097.79 = 143,342.73/x
  3. Step 3: Cross multiply
    542,705.94x = 814,097.79 × 143,342.73
  4. Step 4: Simplify right side
    542,705.94x = 116,694,999,705.57
  5. Step 5: Solve for x
    x = 116,694,999,705.57/542,705.94
  6. Step 6: Final answer
    x = 215,024.36

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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.