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Finding the Fourth Proportional to 278,667.64, 417,869.78 and 107,969.32

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Solution

The fourth proportional to 278,667.64, 417,869.78 and 107,969.32 is: 161,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,667.64 : 417,869.78 = 107,969.32 : x
  2. Step 2: Convert to fraction form
    278,667.64/417,869.78 = 107,969.32/x
  3. Step 3: Cross multiply
    278,667.64x = 417,869.78 × 107,969.32
  4. Step 4: Simplify right side
    278,667.64x = 45,117,115,995.15
  5. Step 5: Solve for x
    x = 45,117,115,995.15/278,667.64
  6. Step 6: Final answer
    x = 161,902.96

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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.