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Finding the Fourth Proportional to 279,894.64, 419,856.54 and 80,196.08

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Solution

The fourth proportional to 279,894.64, 419,856.54 and 80,196.08 is: 120,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,894.64 : 419,856.54 = 80,196.08 : x
  2. Step 2: Convert to fraction form
    279,894.64/419,856.54 = 80,196.08/x
  3. Step 3: Cross multiply
    279,894.64x = 419,856.54 × 80,196.08
  4. Step 4: Simplify right side
    279,894.64x = 33,670,848,670.36
  5. Step 5: Solve for x
    x = 33,670,848,670.36/279,894.64
  6. Step 6: Final answer
    x = 120,298.30

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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.