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Finding the Fourth Proportional to 381,780.77, 572,618.85 and 211,317.78

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Solution

The fourth proportional to 381,780.77, 572,618.85 and 211,317.78 is: 316,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,780.77 : 572,618.85 = 211,317.78 : x
  2. Step 2: Convert to fraction form
    381,780.77/572,618.85 = 211,317.78/x
  3. Step 3: Cross multiply
    381,780.77x = 572,618.85 × 211,317.78
  4. Step 4: Simplify right side
    381,780.77x = 121,004,544,168.15
  5. Step 5: Solve for x
    x = 121,004,544,168.15/381,780.77
  6. Step 6: Final answer
    x = 316,947.72

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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.