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Finding the Fourth Proportional to 301,362.28, 415,895 and 165,395.04

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Solution

The fourth proportional to 301,362.28, 415,895 and 165,395.04 is: 228,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,362.28 : 415,895 = 165,395.04 : x
  2. Step 2: Convert to fraction form
    301,362.28/415,895 = 165,395.04/x
  3. Step 3: Cross multiply
    301,362.28x = 415,895 × 165,395.04
  4. Step 4: Simplify right side
    301,362.28x = 68,786,970,160.80
  5. Step 5: Solve for x
    x = 68,786,970,160.80/301,362.28
  6. Step 6: Final answer
    x = 228,253.42

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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.