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Finding the Fourth Proportional to 228,438.74, 315,274.84 and 137,843.60

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Solution

The fourth proportional to 228,438.74, 315,274.84 and 137,843.60 is: 190,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,438.74 : 315,274.84 = 137,843.60 : x
  2. Step 2: Convert to fraction form
    228,438.74/315,274.84 = 137,843.60/x
  3. Step 3: Cross multiply
    228,438.74x = 315,274.84 × 137,843.60
  4. Step 4: Simplify right side
    228,438.74x = 43,458,618,935.02
  5. Step 5: Solve for x
    x = 43,458,618,935.02/228,438.74
  6. Step 6: Final answer
    x = 190,241.90

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1.5x scale

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.