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Finding the Fourth Proportional to 299,424.30, 413,204.67 and 165,288.30

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Solution

The fourth proportional to 299,424.30, 413,204.67 and 165,288.30 is: 228,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,424.30 : 413,204.67 = 165,288.30 : x
  2. Step 2: Convert to fraction form
    299,424.30/413,204.67 = 165,288.30/x
  3. Step 3: Cross multiply
    299,424.30x = 413,204.67 × 165,288.30
  4. Step 4: Simplify right side
    299,424.30x = 68,297,897,456.36
  5. Step 5: Solve for x
    x = 68,297,897,456.36/299,424.30
  6. Step 6: Final answer
    x = 228,097.38

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1.5x scale

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.