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Finding the Fourth Proportional to 279,311.64, 419,033.08 and 92,323.14

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Solution

The fourth proportional to 279,311.64, 419,033.08 and 92,323.14 is: 138,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,311.64 : 419,033.08 = 92,323.14 : x
  2. Step 2: Convert to fraction form
    279,311.64/419,033.08 = 92,323.14/x
  3. Step 3: Cross multiply
    279,311.64x = 419,033.08 × 92,323.14
  4. Step 4: Simplify right side
    279,311.64x = 38,686,449,709.47
  5. Step 5: Solve for x
    x = 38,686,449,709.47/279,311.64
  6. Step 6: Final answer
    x = 138,506.40

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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.