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Finding the Fourth Proportional to 228,705.20, 343,025.40 and 70,949.60

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Solution

The fourth proportional to 228,705.20, 343,025.40 and 70,949.60 is: 106,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,705.20 : 343,025.40 = 70,949.60 : x
  2. Step 2: Convert to fraction form
    228,705.20/343,025.40 = 70,949.60/x
  3. Step 3: Cross multiply
    228,705.20x = 343,025.40 × 70,949.60
  4. Step 4: Simplify right side
    228,705.20x = 24,337,514,919.84
  5. Step 5: Solve for x
    x = 24,337,514,919.84/228,705.20
  6. Step 6: Final answer
    x = 106,414.35

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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.