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Finding the Fourth Proportional to 258,648.34, 356,934.63 and 145,471

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Solution

The fourth proportional to 258,648.34, 356,934.63 and 145,471 is: 200,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,648.34 : 356,934.63 = 145,471 : x
  2. Step 2: Convert to fraction form
    258,648.34/356,934.63 = 145,471/x
  3. Step 3: Cross multiply
    258,648.34x = 356,934.63 × 145,471
  4. Step 4: Simplify right side
    258,648.34x = 51,923,637,560.73
  5. Step 5: Solve for x
    x = 51,923,637,560.73/258,648.34
  6. Step 6: Final answer
    x = 200,749.94

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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.