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Finding the Fourth Proportional to 306,502.56, 422,940.42 and 170,514.90

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Solution

The fourth proportional to 306,502.56, 422,940.42 and 170,514.90 is: 235,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,502.56 : 422,940.42 = 170,514.90 : x
  2. Step 2: Convert to fraction form
    306,502.56/422,940.42 = 170,514.90/x
  3. Step 3: Cross multiply
    306,502.56x = 422,940.42 × 170,514.90
  4. Step 4: Simplify right side
    306,502.56x = 72,117,643,422.26
  5. Step 5: Solve for x
    x = 72,117,643,422.26/306,502.56
  6. Step 6: Final answer
    x = 235,292.14

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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.