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Finding the Fourth Proportional to 278,036.74, 416,991.12 and 165,748.60

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Solution

The fourth proportional to 278,036.74, 416,991.12 and 165,748.60 is: 248,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,036.74 : 416,991.12 = 165,748.60 : x
  2. Step 2: Convert to fraction form
    278,036.74/416,991.12 = 165,748.60/x
  3. Step 3: Cross multiply
    278,036.74x = 416,991.12 × 165,748.60
  4. Step 4: Simplify right side
    278,036.74x = 69,115,694,352.43
  5. Step 5: Solve for x
    x = 69,115,694,352.43/278,036.74
  6. Step 6: Final answer
    x = 248,584.75

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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.