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Finding the Fourth Proportional to 257,635.84, 386,266.92 and 173,186.54

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Solution

The fourth proportional to 257,635.84, 386,266.92 and 173,186.54 is: 259,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,635.84 : 386,266.92 = 173,186.54 : x
  2. Step 2: Convert to fraction form
    257,635.84/386,266.92 = 173,186.54/x
  3. Step 3: Cross multiply
    257,635.84x = 386,266.92 × 173,186.54
  4. Step 4: Simplify right side
    257,635.84x = 66,896,231,391.26
  5. Step 5: Solve for x
    x = 66,896,231,391.26/257,635.84
  6. Step 6: Final answer
    x = 259,654.21

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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.