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Finding the Fourth Proportional to 285,307.31, 427,800.89 and 195,451.58

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Solution

The fourth proportional to 285,307.31, 427,800.89 and 195,451.58 is: 293,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,307.31 : 427,800.89 = 195,451.58 : x
  2. Step 2: Convert to fraction form
    285,307.31/427,800.89 = 195,451.58/x
  3. Step 3: Cross multiply
    285,307.31x = 427,800.89 × 195,451.58
  4. Step 4: Simplify right side
    285,307.31x = 83,614,361,434.04
  5. Step 5: Solve for x
    x = 83,614,361,434.04/285,307.31
  6. Step 6: Final answer
    x = 293,067.71

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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.