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Finding the Fourth Proportional to 285,930, 428,895 and 195,883.92

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Solution

The fourth proportional to 285,930, 428,895 and 195,883.92 is: 293,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,930 : 428,895 = 195,883.92 : x
  2. Step 2: Convert to fraction form
    285,930/428,895 = 195,883.92/x
  3. Step 3: Cross multiply
    285,930x = 428,895 × 195,883.92
  4. Step 4: Simplify right side
    285,930x = 84,013,633,868.40
  5. Step 5: Solve for x
    x = 84,013,633,868.40/285,930
  6. Step 6: Final answer
    x = 293,825.88

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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.