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Finding the Fourth Proportional to 278,959.48, 418,415.50 and 110,434

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Solution

The fourth proportional to 278,959.48, 418,415.50 and 110,434 is: 165,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,959.48 : 418,415.50 = 110,434 : x
  2. Step 2: Convert to fraction form
    278,959.48/418,415.50 = 110,434/x
  3. Step 3: Cross multiply
    278,959.48x = 418,415.50 × 110,434
  4. Step 4: Simplify right side
    278,959.48x = 46,207,297,327
  5. Step 5: Solve for x
    x = 46,207,297,327/278,959.48
  6. Step 6: Final answer
    x = 165,641.61

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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.