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Finding the Fourth Proportional to 508,257.51, 762,191.73 and 171,207.60

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Solution

The fourth proportional to 508,257.51, 762,191.73 and 171,207.60 is: 256,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,257.51 : 762,191.73 = 171,207.60 : x
  2. Step 2: Convert to fraction form
    508,257.51/762,191.73 = 171,207.60/x
  3. Step 3: Cross multiply
    508,257.51x = 762,191.73 × 171,207.60
  4. Step 4: Simplify right side
    508,257.51x = 130,493,016,833.15
  5. Step 5: Solve for x
    x = 130,493,016,833.15/508,257.51
  6. Step 6: Final answer
    x = 256,745.87

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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.