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Finding the Fourth Proportional to 306,497.52, 422,968.68 and 170,537.22

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Solution

The fourth proportional to 306,497.52, 422,968.68 and 170,537.22 is: 235,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,497.52 : 422,968.68 = 170,537.22 : x
  2. Step 2: Convert to fraction form
    306,497.52/422,968.68 = 170,537.22/x
  3. Step 3: Cross multiply
    306,497.52x = 422,968.68 × 170,537.22
  4. Step 4: Simplify right side
    306,497.52x = 72,131,902,834.27
  5. Step 5: Solve for x
    x = 72,131,902,834.27/306,497.52
  6. Step 6: Final answer
    x = 235,342.53

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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.