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Finding the Fourth Proportional to 471,145.19, 650,177.43 and 256,286.09

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Solution

The fourth proportional to 471,145.19, 650,177.43 and 256,286.09 is: 353,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,145.19 : 650,177.43 = 256,286.09 : x
  2. Step 2: Convert to fraction form
    471,145.19/650,177.43 = 256,286.09/x
  3. Step 3: Cross multiply
    471,145.19x = 650,177.43 × 256,286.09
  4. Step 4: Simplify right side
    471,145.19x = 166,631,431,340.95
  5. Step 5: Solve for x
    x = 166,631,431,340.95/471,145.19
  6. Step 6: Final answer
    x = 353,673.21

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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.