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Finding the Fourth Proportional to 381,154, 571,731 and 159,538

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Solution

The fourth proportional to 381,154, 571,731 and 159,538 is: 239,307

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,154 : 571,731 = 159,538 : x
  2. Step 2: Convert to fraction form
    381,154/571,731 = 159,538/x
  3. Step 3: Cross multiply
    381,154x = 571,731 × 159,538
  4. Step 4: Simplify right side
    381,154x = 91,212,820,278
  5. Step 5: Solve for x
    x = 91,212,820,278/381,154
  6. Step 6: Final answer
    x = 239,307

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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.