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Finding the Fourth Proportional to 269,340.97, 403,978.55 and 69,644.62

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Solution

The fourth proportional to 269,340.97, 403,978.55 and 69,644.62 is: 104,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,340.97 : 403,978.55 = 69,644.62 : x
  2. Step 2: Convert to fraction form
    269,340.97/403,978.55 = 69,644.62/x
  3. Step 3: Cross multiply
    269,340.97x = 403,978.55 × 69,644.62
  4. Step 4: Simplify right side
    269,340.97x = 28,134,932,602.90
  5. Step 5: Solve for x
    x = 28,134,932,602.90/269,340.97
  6. Step 6: Final answer
    x = 104,458.42

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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.