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Finding the Fourth Proportional to 423,676.76, 635,514.22 and 266,015.92

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Solution

The fourth proportional to 423,676.76, 635,514.22 and 266,015.92 is: 399,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,676.76 : 635,514.22 = 266,015.92 : x
  2. Step 2: Convert to fraction form
    423,676.76/635,514.22 = 266,015.92/x
  3. Step 3: Cross multiply
    423,676.76x = 635,514.22 × 266,015.92
  4. Step 4: Simplify right side
    423,676.76x = 169,056,899,906.38
  5. Step 5: Solve for x
    x = 169,056,899,906.38/423,676.76
  6. Step 6: Final answer
    x = 399,023.30

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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.