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Finding the Fourth Proportional to 285,191.73, 428,208.12 and 159,078.38

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Solution

The fourth proportional to 285,191.73, 428,208.12 and 159,078.38 is: 238,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,191.73 : 428,208.12 = 159,078.38 : x
  2. Step 2: Convert to fraction form
    285,191.73/428,208.12 = 159,078.38/x
  3. Step 3: Cross multiply
    285,191.73x = 428,208.12 × 159,078.38
  4. Step 4: Simplify right side
    285,191.73x = 68,118,651,891.41
  5. Step 5: Solve for x
    x = 68,118,651,891.41/285,191.73
  6. Step 6: Final answer
    x = 238,852.13

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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.