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Finding the Fourth Proportional to 279,903.96, 419,838.66 and 113,687.64

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Solution

The fourth proportional to 279,903.96, 419,838.66 and 113,687.64 is: 170,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,903.96 : 419,838.66 = 113,687.64 : x
  2. Step 2: Convert to fraction form
    279,903.96/419,838.66 = 113,687.64/x
  3. Step 3: Cross multiply
    279,903.96x = 419,838.66 × 113,687.64
  4. Step 4: Simplify right side
    279,903.96x = 47,730,466,436.16
  5. Step 5: Solve for x
    x = 47,730,466,436.16/279,903.96
  6. Step 6: Final answer
    x = 170,524.44

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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.