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Finding the Fourth Proportional to 381,980.70, 572,552.55 and 192,138.30

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Solution

The fourth proportional to 381,980.70, 572,552.55 and 192,138.30 is: 287,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,980.70 : 572,552.55 = 192,138.30 : x
  2. Step 2: Convert to fraction form
    381,980.70/572,552.55 = 192,138.30/x
  3. Step 3: Cross multiply
    381,980.70x = 572,552.55 × 192,138.30
  4. Step 4: Simplify right side
    381,980.70x = 110,009,273,617.67
  5. Step 5: Solve for x
    x = 110,009,273,617.67/381,980.70
  6. Step 6: Final answer
    x = 287,996.94

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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.