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Finding the Fourth Proportional to 381,877.54, 572,978.31 and 204,338.50

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Solution

The fourth proportional to 381,877.54, 572,978.31 and 204,338.50 is: 306,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,877.54 : 572,978.31 = 204,338.50 : x
  2. Step 2: Convert to fraction form
    381,877.54/572,978.31 = 204,338.50/x
  3. Step 3: Cross multiply
    381,877.54x = 572,978.31 × 204,338.50
  4. Step 4: Simplify right side
    381,877.54x = 117,081,528,397.94
  5. Step 5: Solve for x
    x = 117,081,528,397.94/381,877.54
  6. Step 6: Final answer
    x = 306,594.43

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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.