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Finding the Fourth Proportional to 338,780.64, 467,514.10 and 185,815.72

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Solution

The fourth proportional to 338,780.64, 467,514.10 and 185,815.72 is: 256,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,780.64 : 467,514.10 = 185,815.72 : x
  2. Step 2: Convert to fraction form
    338,780.64/467,514.10 = 185,815.72/x
  3. Step 3: Cross multiply
    338,780.64x = 467,514.10 × 185,815.72
  4. Step 4: Simplify right side
    338,780.64x = 86,871,469,101.65
  5. Step 5: Solve for x
    x = 86,871,469,101.65/338,780.64
  6. Step 6: Final answer
    x = 256,423.95

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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.