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Finding the Fourth Proportional to 228,846, 315,807.48 and 128,276.40

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Solution

The fourth proportional to 228,846, 315,807.48 and 128,276.40 is: 177,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,846 : 315,807.48 = 128,276.40 : x
  2. Step 2: Convert to fraction form
    228,846/315,807.48 = 128,276.40/x
  3. Step 3: Cross multiply
    228,846x = 315,807.48 × 128,276.40
  4. Step 4: Simplify right side
    228,846x = 40,510,646,627.47
  5. Step 5: Solve for x
    x = 40,510,646,627.47/228,846
  6. Step 6: Final answer
    x = 177,021.43

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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.