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Finding the Fourth Proportional to 381,922.60, 572,883.90 and 192,309.70

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Solution

The fourth proportional to 381,922.60, 572,883.90 and 192,309.70 is: 288,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,922.60 : 572,883.90 = 192,309.70 : x
  2. Step 2: Convert to fraction form
    381,922.60/572,883.90 = 192,309.70/x
  3. Step 3: Cross multiply
    381,922.60x = 572,883.90 × 192,309.70
  4. Step 4: Simplify right side
    381,922.60x = 110,171,130,943.83
  5. Step 5: Solve for x
    x = 110,171,130,943.83/381,922.60
  6. Step 6: Final answer
    x = 288,464.55

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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.