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Finding the Fourth Proportional to 422,225.56, 582,676.23 and 231,247

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Solution

The fourth proportional to 422,225.56, 582,676.23 and 231,247 is: 319,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,225.56 : 582,676.23 = 231,247 : x
  2. Step 2: Convert to fraction form
    422,225.56/582,676.23 = 231,247/x
  3. Step 3: Cross multiply
    422,225.56x = 582,676.23 × 231,247
  4. Step 4: Simplify right side
    422,225.56x = 134,742,130,158.81
  5. Step 5: Solve for x
    x = 134,742,130,158.81/422,225.56
  6. Step 6: Final answer
    x = 319,123.57

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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.