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Finding the Fourth Proportional to 238,380.75, 328,827.90 and 142,832.08

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Solution

The fourth proportional to 238,380.75, 328,827.90 and 142,832.08 is: 197,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,380.75 : 328,827.90 = 142,832.08 : x
  2. Step 2: Convert to fraction form
    238,380.75/328,827.90 = 142,832.08/x
  3. Step 3: Cross multiply
    238,380.75x = 328,827.90 × 142,832.08
  4. Step 4: Simplify right side
    238,380.75x = 46,967,170,560.73
  5. Step 5: Solve for x
    x = 46,967,170,560.73/238,380.75
  6. Step 6: Final answer
    x = 197,025.86

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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.