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Finding the Fourth Proportional to 422,898.72, 583,613.76 and 231,911.66

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Solution

The fourth proportional to 422,898.72, 583,613.76 and 231,911.66 is: 320,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,898.72 : 583,613.76 = 231,911.66 : x
  2. Step 2: Convert to fraction form
    422,898.72/583,613.76 = 231,911.66/x
  3. Step 3: Cross multiply
    422,898.72x = 583,613.76 × 231,911.66
  4. Step 4: Simplify right side
    422,898.72x = 135,346,835,880.44
  5. Step 5: Solve for x
    x = 135,346,835,880.44/422,898.72
  6. Step 6: Final answer
    x = 320,045.51

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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.