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Finding the Fourth Proportional to 258,950, 386,608.52 and 219,102.68

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Solution

The fourth proportional to 258,950, 386,608.52 and 219,102.68 is: 327,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,950 : 386,608.52 = 219,102.68 : x
  2. Step 2: Convert to fraction form
    258,950/386,608.52 = 219,102.68/x
  3. Step 3: Cross multiply
    258,950x = 386,608.52 × 219,102.68
  4. Step 4: Simplify right side
    258,950x = 84,706,962,842.83
  5. Step 5: Solve for x
    x = 84,706,962,842.83/258,950
  6. Step 6: Final answer
    x = 327,117.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.