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Finding the Fourth Proportional to 422,458.96, 632,731 and 296,662.72

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Solution

The fourth proportional to 422,458.96, 632,731 and 296,662.72 is: 444,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,458.96 : 632,731 = 296,662.72 : x
  2. Step 2: Convert to fraction form
    422,458.96/632,731 = 296,662.72/x
  3. Step 3: Cross multiply
    422,458.96x = 632,731 × 296,662.72
  4. Step 4: Simplify right side
    422,458.96x = 187,707,699,488.32
  5. Step 5: Solve for x
    x = 187,707,699,488.32/422,458.96
  6. Step 6: Final answer
    x = 444,321.74

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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.