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Finding the Fourth Proportional to 381,320, 571,608.08 and 181,586.96

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Solution

The fourth proportional to 381,320, 571,608.08 and 181,586.96 is: 272,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,320 : 571,608.08 = 181,586.96 : x
  2. Step 2: Convert to fraction form
    381,320/571,608.08 = 181,586.96/x
  3. Step 3: Cross multiply
    381,320x = 571,608.08 × 181,586.96
  4. Step 4: Simplify right side
    381,320x = 103,796,573,558.64
  5. Step 5: Solve for x
    x = 103,796,573,558.64/381,320
  6. Step 6: Final answer
    x = 272,203.33

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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.