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Finding the Fourth Proportional to 471,141.92, 650,169 and 256,283.72

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Solution

The fourth proportional to 471,141.92, 650,169 and 256,283.72 is: 353,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,141.92 : 650,169 = 256,283.72 : x
  2. Step 2: Convert to fraction form
    471,141.92/650,169 = 256,283.72/x
  3. Step 3: Cross multiply
    471,141.92x = 650,169 × 256,283.72
  4. Step 4: Simplify right side
    471,141.92x = 166,627,729,948.68
  5. Step 5: Solve for x
    x = 166,627,729,948.68/471,141.92
  6. Step 6: Final answer
    x = 353,667.81

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1.5x scale

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.