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Finding the Fourth Proportional to 228,847.22, 315,819.96 and 142,857.12

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Solution

The fourth proportional to 228,847.22, 315,819.96 and 142,857.12 is: 197,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,847.22 : 315,819.96 = 142,857.12 : x
  2. Step 2: Convert to fraction form
    228,847.22/315,819.96 = 142,857.12/x
  3. Step 3: Cross multiply
    228,847.22x = 315,819.96 × 142,857.12
  4. Step 4: Simplify right side
    228,847.22x = 45,117,129,599.81
  5. Step 5: Solve for x
    x = 45,117,129,599.81/228,847.22
  6. Step 6: Final answer
    x = 197,149.56

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1.5x scale

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.