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Finding the Fourth Proportional to 471,235.76, 650,286.39 and 256,376.71

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Solution

The fourth proportional to 471,235.76, 650,286.39 and 256,376.71 is: 353,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,235.76 : 650,286.39 = 256,376.71 : x
  2. Step 2: Convert to fraction form
    471,235.76/650,286.39 = 256,376.71/x
  3. Step 3: Cross multiply
    471,235.76x = 650,286.39 × 256,376.71
  4. Step 4: Simplify right side
    471,235.76x = 166,718,285,225.98
  5. Step 5: Solve for x
    x = 166,718,285,225.98/471,235.76
  6. Step 6: Final answer
    x = 353,789.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.