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Finding the Fourth Proportional to 341,286.52, 511,531.12 and 256,775.12

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Solution

The fourth proportional to 341,286.52, 511,531.12 and 256,775.12 is: 384,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,286.52 : 511,531.12 = 256,775.12 : x
  2. Step 2: Convert to fraction form
    341,286.52/511,531.12 = 256,775.12/x
  3. Step 3: Cross multiply
    341,286.52x = 511,531.12 × 256,775.12
  4. Step 4: Simplify right side
    341,286.52x = 131,348,464,721.73
  5. Step 5: Solve for x
    x = 131,348,464,721.73/341,286.52
  6. Step 6: Final answer
    x = 384,862.74

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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.