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Finding the Fourth Proportional to 228,375.60, 315,151.84 and 126,405.24

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Solution

The fourth proportional to 228,375.60, 315,151.84 and 126,405.24 is: 174,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,375.60 : 315,151.84 = 126,405.24 : x
  2. Step 2: Convert to fraction form
    228,375.60/315,151.84 = 126,405.24/x
  3. Step 3: Cross multiply
    228,375.60x = 315,151.84 × 126,405.24
  4. Step 4: Simplify right side
    228,375.60x = 39,836,843,971.64
  5. Step 5: Solve for x
    x = 39,836,843,971.64/228,375.60
  6. Step 6: Final answer
    x = 174,435.64

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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.