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Finding the Fourth Proportional to 368,967.28, 509,175.60 and 215,977.84

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Solution

The fourth proportional to 368,967.28, 509,175.60 and 215,977.84 is: 298,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,967.28 : 509,175.60 = 215,977.84 : x
  2. Step 2: Convert to fraction form
    368,967.28/509,175.60 = 215,977.84/x
  3. Step 3: Cross multiply
    368,967.28x = 509,175.60 × 215,977.84
  4. Step 4: Simplify right side
    368,967.28x = 109,970,646,268.70
  5. Step 5: Solve for x
    x = 109,970,646,268.70/368,967.28
  6. Step 6: Final answer
    x = 298,049.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.