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Finding the Fourth Proportional to 228,997, 316,015.86 and 128,395

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Solution

The fourth proportional to 228,997, 316,015.86 and 128,395 is: 177,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,997 : 316,015.86 = 128,395 : x
  2. Step 2: Convert to fraction form
    228,997/316,015.86 = 128,395/x
  3. Step 3: Cross multiply
    228,997x = 316,015.86 × 128,395
  4. Step 4: Simplify right side
    228,997x = 40,574,856,344.70
  5. Step 5: Solve for x
    x = 40,574,856,344.70/228,997
  6. Step 6: Final answer
    x = 177,185.10

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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.