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Finding the Fourth Proportional to 381,876.54, 572,976.81 and 204,337.50

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Solution

The fourth proportional to 381,876.54, 572,976.81 and 204,337.50 is: 306,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,876.54 : 572,976.81 = 204,337.50 : x
  2. Step 2: Convert to fraction form
    381,876.54/572,976.81 = 204,337.50/x
  3. Step 3: Cross multiply
    381,876.54x = 572,976.81 × 204,337.50
  4. Step 4: Simplify right side
    381,876.54x = 117,080,648,913.38
  5. Step 5: Solve for x
    x = 117,080,648,913.38/381,876.54
  6. Step 6: Final answer
    x = 306,592.93

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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.