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Finding the Fourth Proportional to 228,438.24, 315,274.14 and 137,843.10

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Solution

The fourth proportional to 228,438.24, 315,274.14 and 137,843.10 is: 190,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,438.24 : 315,274.14 = 137,843.10 : x
  2. Step 2: Convert to fraction form
    228,438.24/315,274.14 = 137,843.10/x
  3. Step 3: Cross multiply
    228,438.24x = 315,274.14 × 137,843.10
  4. Step 4: Simplify right side
    228,438.24x = 43,458,364,807.43
  5. Step 5: Solve for x
    x = 43,458,364,807.43/228,438.24
  6. Step 6: Final answer
    x = 190,241.20

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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.