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Finding the Fourth Proportional to 500,096.88, 690,027.12 and 296,211.60

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Solution

The fourth proportional to 500,096.88, 690,027.12 and 296,211.60 is: 408,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,096.88 : 690,027.12 = 296,211.60 : x
  2. Step 2: Convert to fraction form
    500,096.88/690,027.12 = 296,211.60/x
  3. Step 3: Cross multiply
    500,096.88x = 690,027.12 × 296,211.60
  4. Step 4: Simplify right side
    500,096.88x = 204,394,037,258.59
  5. Step 5: Solve for x
    x = 204,394,037,258.59/500,096.88
  6. Step 6: Final answer
    x = 408,708.88

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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.