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Finding the Fourth Proportional to 228,778.28, 315,722.12 and 138,116.54

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Solution

The fourth proportional to 228,778.28, 315,722.12 and 138,116.54 is: 190,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,778.28 : 315,722.12 = 138,116.54 : x
  2. Step 2: Convert to fraction form
    228,778.28/315,722.12 = 138,116.54/x
  3. Step 3: Cross multiply
    228,778.28x = 315,722.12 × 138,116.54
  4. Step 4: Simplify right side
    228,778.28x = 43,606,446,815.86
  5. Step 5: Solve for x
    x = 43,606,446,815.86/228,778.28
  6. Step 6: Final answer
    x = 190,605.71

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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.