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Finding the Fourth Proportional to 278,164.90, 417,418.67 and 109,656.55

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Solution

The fourth proportional to 278,164.90, 417,418.67 and 109,656.55 is: 164,552.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,164.90 : 417,418.67 = 109,656.55 : x
  2. Step 2: Convert to fraction form
    278,164.90/417,418.67 = 109,656.55/x
  3. Step 3: Cross multiply
    278,164.90x = 417,418.67 × 109,656.55
  4. Step 4: Simplify right side
    278,164.90x = 45,772,691,436.89
  5. Step 5: Solve for x
    x = 45,772,691,436.89/278,164.90
  6. Step 6: Final answer
    x = 164,552.36

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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.