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Finding the Fourth Proportional to 381,257.69, 571,790.34 and 156,680.12

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Solution

The fourth proportional to 381,257.69, 571,790.34 and 156,680.12 is: 234,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,257.69 : 571,790.34 = 156,680.12 : x
  2. Step 2: Convert to fraction form
    381,257.69/571,790.34 = 156,680.12/x
  3. Step 3: Cross multiply
    381,257.69x = 571,790.34 × 156,680.12
  4. Step 4: Simplify right side
    381,257.69x = 89,588,180,515.52
  5. Step 5: Solve for x
    x = 89,588,180,515.52/381,257.69
  6. Step 6: Final answer
    x = 234,980.65

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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.