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Finding the Fourth Proportional to 394,087.16, 542,694.82 and 342,380.34

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Solution

The fourth proportional to 394,087.16, 542,694.82 and 342,380.34 is: 471,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,087.16 : 542,694.82 = 342,380.34 : x
  2. Step 2: Convert to fraction form
    394,087.16/542,694.82 = 342,380.34/x
  3. Step 3: Cross multiply
    394,087.16x = 542,694.82 × 342,380.34
  4. Step 4: Simplify right side
    394,087.16x = 185,808,036,987.84
  5. Step 5: Solve for x
    x = 185,808,036,987.84/394,087.16
  6. Step 6: Final answer
    x = 471,489.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.