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Finding the Fourth Proportional to 278,774.92, 418,014.15 and 110,288.44

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Solution

The fourth proportional to 278,774.92, 418,014.15 and 110,288.44 is: 165,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,774.92 : 418,014.15 = 110,288.44 : x
  2. Step 2: Convert to fraction form
    278,774.92/418,014.15 = 110,288.44/x
  3. Step 3: Cross multiply
    278,774.92x = 418,014.15 × 110,288.44
  4. Step 4: Simplify right side
    278,774.92x = 46,102,128,501.43
  5. Step 5: Solve for x
    x = 46,102,128,501.43/278,774.92
  6. Step 6: Final answer
    x = 165,374.02

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1.5x scale

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.