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Finding the Fourth Proportional to 278,008.22, 416,854.34 and 109,437.26

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Solution

The fourth proportional to 278,008.22, 416,854.34 and 109,437.26 is: 164,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,008.22 : 416,854.34 = 109,437.26 : x
  2. Step 2: Convert to fraction form
    278,008.22/416,854.34 = 109,437.26/x
  3. Step 3: Cross multiply
    278,008.22x = 416,854.34 × 109,437.26
  4. Step 4: Simplify right side
    278,008.22x = 45,619,396,788.71
  5. Step 5: Solve for x
    x = 45,619,396,788.71/278,008.22
  6. Step 6: Final answer
    x = 164,093.70

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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.