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Finding the Fourth Proportional to 228,796.22, 315,723.74 and 128,174.78

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Solution

The fourth proportional to 228,796.22, 315,723.74 and 128,174.78 is: 176,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,796.22 : 315,723.74 = 128,174.78 : x
  2. Step 2: Convert to fraction form
    228,796.22/315,723.74 = 128,174.78/x
  3. Step 3: Cross multiply
    228,796.22x = 315,723.74 × 128,174.78
  4. Step 4: Simplify right side
    228,796.22x = 40,467,820,915.28
  5. Step 5: Solve for x
    x = 40,467,820,915.28/228,796.22
  6. Step 6: Final answer
    x = 176,872.77

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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.