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Finding the Fourth Proportional to 238,330.65, 328,758.97 and 142,782

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Solution

The fourth proportional to 238,330.65, 328,758.97 and 142,782 is: 196,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,330.65 : 328,758.97 = 142,782 : x
  2. Step 2: Convert to fraction form
    238,330.65/328,758.97 = 142,782/x
  3. Step 3: Cross multiply
    238,330.65x = 328,758.97 × 142,782
  4. Step 4: Simplify right side
    238,330.65x = 46,940,863,254.54
  5. Step 5: Solve for x
    x = 46,940,863,254.54/238,330.65
  6. Step 6: Final answer
    x = 196,956.89

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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.