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Finding the Fourth Proportional to 471,286.72, 650,378.48 and 256,428.28

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Solution

The fourth proportional to 471,286.72, 650,378.48 and 256,428.28 is: 353,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,286.72 : 650,378.48 = 256,428.28 : x
  2. Step 2: Convert to fraction form
    471,286.72/650,378.48 = 256,428.28/x
  3. Step 3: Cross multiply
    471,286.72x = 650,378.48 × 256,428.28
  4. Step 4: Simplify right side
    471,286.72x = 166,775,434,975.41
  5. Step 5: Solve for x
    x = 166,775,434,975.41/471,286.72
  6. Step 6: Final answer
    x = 353,872.55

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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.