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Finding the Fourth Proportional to 285,632.82, 428,026.95 and 269,656.83

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Solution

The fourth proportional to 285,632.82, 428,026.95 and 269,656.83 is: 404,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,632.82 : 428,026.95 = 269,656.83 : x
  2. Step 2: Convert to fraction form
    285,632.82/428,026.95 = 269,656.83/x
  3. Step 3: Cross multiply
    285,632.82x = 428,026.95 × 269,656.83
  4. Step 4: Simplify right side
    285,632.82x = 115,420,390,491.57
  5. Step 5: Solve for x
    x = 115,420,390,491.57/285,632.82
  6. Step 6: Final answer
    x = 404,086.58

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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.