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Finding the Fourth Proportional to 300,814.11, 415,123.11 and 164,856.60

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Solution

The fourth proportional to 300,814.11, 415,123.11 and 164,856.60 is: 227,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,814.11 : 415,123.11 = 164,856.60 : x
  2. Step 2: Convert to fraction form
    300,814.11/415,123.11 = 164,856.60/x
  3. Step 3: Cross multiply
    300,814.11x = 415,123.11 × 164,856.60
  4. Step 4: Simplify right side
    300,814.11x = 68,435,784,496.03
  5. Step 5: Solve for x
    x = 68,435,784,496.03/300,814.11
  6. Step 6: Final answer
    x = 227,501.91

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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.