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Finding the Fourth Proportional to 228,298.64, 315,140.42 and 204,383.79

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Solution

The fourth proportional to 228,298.64, 315,140.42 and 204,383.79 is: 282,128.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,298.64 : 315,140.42 = 204,383.79 : x
  2. Step 2: Convert to fraction form
    228,298.64/315,140.42 = 204,383.79/x
  3. Step 3: Cross multiply
    228,298.64x = 315,140.42 × 204,383.79
  4. Step 4: Simplify right side
    228,298.64x = 64,409,593,932.75
  5. Step 5: Solve for x
    x = 64,409,593,932.75/228,298.64
  6. Step 6: Final answer
    x = 282,128.69

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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.