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Finding the Fourth Proportional to 381,919.20, 572,805.90 and 115,688.40

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Solution

The fourth proportional to 381,919.20, 572,805.90 and 115,688.40 is: 173,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,919.20 : 572,805.90 = 115,688.40 : x
  2. Step 2: Convert to fraction form
    381,919.20/572,805.90 = 115,688.40/x
  3. Step 3: Cross multiply
    381,919.20x = 572,805.90 × 115,688.40
  4. Step 4: Simplify right side
    381,919.20x = 66,266,998,081.56
  5. Step 5: Solve for x
    x = 66,266,998,081.56/381,919.20
  6. Step 6: Final answer
    x = 173,510.52

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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.