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Finding the Fourth Proportional to 381,900, 572,850 and 119,244

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Solution

The fourth proportional to 381,900, 572,850 and 119,244 is: 178,866

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,900 : 572,850 = 119,244 : x
  2. Step 2: Convert to fraction form
    381,900/572,850 = 119,244/x
  3. Step 3: Cross multiply
    381,900x = 572,850 × 119,244
  4. Step 4: Simplify right side
    381,900x = 68,308,925,400
  5. Step 5: Solve for x
    x = 68,308,925,400/381,900
  6. Step 6: Final answer
    x = 178,866

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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.