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Finding the Fourth Proportional to 381,154.50, 571,731.75 and 159,538.50

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Solution

The fourth proportional to 381,154.50, 571,731.75 and 159,538.50 is: 239,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,154.50 : 571,731.75 = 159,538.50 : x
  2. Step 2: Convert to fraction form
    381,154.50/571,731.75 = 159,538.50/x
  3. Step 3: Cross multiply
    381,154.50x = 571,731.75 × 159,538.50
  4. Step 4: Simplify right side
    381,154.50x = 91,213,225,797.38
  5. Step 5: Solve for x
    x = 91,213,225,797.38/381,154.50
  6. Step 6: Final answer
    x = 239,307.75

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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.