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Finding the Fourth Proportional to 259,171.56, 388,596.96 and 101,214.28

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Solution

The fourth proportional to 259,171.56, 388,596.96 and 101,214.28 is: 151,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,171.56 : 388,596.96 = 101,214.28 : x
  2. Step 2: Convert to fraction form
    259,171.56/388,596.96 = 101,214.28/x
  3. Step 3: Cross multiply
    259,171.56x = 388,596.96 × 101,214.28
  4. Step 4: Simplify right side
    259,171.56x = 39,331,561,516.59
  5. Step 5: Solve for x
    x = 39,331,561,516.59/259,171.56
  6. Step 6: Final answer
    x = 151,758.79

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1.5x scale

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.