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Finding the Fourth Proportional to 381,328.02, 571,992.72 and 156,531.78

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Solution

The fourth proportional to 381,328.02, 571,992.72 and 156,531.78 is: 234,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,328.02 : 571,992.72 = 156,531.78 : x
  2. Step 2: Convert to fraction form
    381,328.02/571,992.72 = 156,531.78/x
  3. Step 3: Cross multiply
    381,328.02x = 571,992.72 × 156,531.78
  4. Step 4: Simplify right side
    381,328.02x = 89,535,038,608.64
  5. Step 5: Solve for x
    x = 89,535,038,608.64/381,328.02
  6. Step 6: Final answer
    x = 234,797.95

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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.