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Finding the Fourth Proportional to 422,668.48, 583,279.86 and 231,689.92

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Solution

The fourth proportional to 422,668.48, 583,279.86 and 231,689.92 is: 319,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,668.48 : 583,279.86 = 231,689.92 : x
  2. Step 2: Convert to fraction form
    422,668.48/583,279.86 = 231,689.92/x
  3. Step 3: Cross multiply
    422,668.48x = 583,279.86 × 231,689.92
  4. Step 4: Simplify right side
    422,668.48x = 135,140,064,101.01
  5. Step 5: Solve for x
    x = 135,140,064,101.01/422,668.48
  6. Step 6: Final answer
    x = 319,730.64

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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.