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Finding the Fourth Proportional to 422,499.29, 633,749.40 and 106,956.20

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Solution

The fourth proportional to 422,499.29, 633,749.40 and 106,956.20 is: 160,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,499.29 : 633,749.40 = 106,956.20 : x
  2. Step 2: Convert to fraction form
    422,499.29/633,749.40 = 106,956.20/x
  3. Step 3: Cross multiply
    422,499.29x = 633,749.40 × 106,956.20
  4. Step 4: Simplify right side
    422,499.29x = 67,783,424,407.53
  5. Step 5: Solve for x
    x = 67,783,424,407.53/422,499.29
  6. Step 6: Final answer
    x = 160,434.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.