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Finding the Fourth Proportional to 276,268.54, 415,182.84 and 163,969.74

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Solution

The fourth proportional to 276,268.54, 415,182.84 and 163,969.74 is: 246,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,268.54 : 415,182.84 = 163,969.74 : x
  2. Step 2: Convert to fraction form
    276,268.54/415,182.84 = 163,969.74/x
  3. Step 3: Cross multiply
    276,268.54x = 415,182.84 × 163,969.74
  4. Step 4: Simplify right side
    276,268.54x = 68,077,422,327.26
  5. Step 5: Solve for x
    x = 68,077,422,327.26/276,268.54
  6. Step 6: Final answer
    x = 246,417.57

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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.