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Finding the Fourth Proportional to 228,863.20, 342,978.80 and 165,175.60

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Solution

The fourth proportional to 228,863.20, 342,978.80 and 165,175.60 is: 247,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,863.20 : 342,978.80 = 165,175.60 : x
  2. Step 2: Convert to fraction form
    228,863.20/342,978.80 = 165,175.60/x
  3. Step 3: Cross multiply
    228,863.20x = 342,978.80 × 165,175.60
  4. Step 4: Simplify right side
    228,863.20x = 56,651,729,077.28
  5. Step 5: Solve for x
    x = 56,651,729,077.28/228,863.20
  6. Step 6: Final answer
    x = 247,535.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.