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Finding the Fourth Proportional to 285,933, 428,899.50 and 195,886.92

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Solution

The fourth proportional to 285,933, 428,899.50 and 195,886.92 is: 293,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,933 : 428,899.50 = 195,886.92 : x
  2. Step 2: Convert to fraction form
    285,933/428,899.50 = 195,886.92/x
  3. Step 3: Cross multiply
    285,933x = 428,899.50 × 195,886.92
  4. Step 4: Simplify right side
    285,933x = 84,015,802,044.54
  5. Step 5: Solve for x
    x = 84,015,802,044.54/285,933
  6. Step 6: Final answer
    x = 293,830.38

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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.