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Finding the Fourth Proportional to 278,001.60, 416,844.38 and 109,430.54

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Solution

The fourth proportional to 278,001.60, 416,844.38 and 109,430.54 is: 164,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,001.60 : 416,844.38 = 109,430.54 : x
  2. Step 2: Convert to fraction form
    278,001.60/416,844.38 = 109,430.54/x
  3. Step 3: Cross multiply
    278,001.60x = 416,844.38 × 109,430.54
  4. Step 4: Simplify right side
    278,001.60x = 45,615,505,599.37
  5. Step 5: Solve for x
    x = 45,615,505,599.37/278,001.60
  6. Step 6: Final answer
    x = 164,083.61

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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.