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Finding the Fourth Proportional to 292,989.36, 404,333.28 and 165,684

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Solution

The fourth proportional to 292,989.36, 404,333.28 and 165,684 is: 228,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,989.36 : 404,333.28 = 165,684 : x
  2. Step 2: Convert to fraction form
    292,989.36/404,333.28 = 165,684/x
  3. Step 3: Cross multiply
    292,989.36x = 404,333.28 × 165,684
  4. Step 4: Simplify right side
    292,989.36x = 66,991,555,163.52
  5. Step 5: Solve for x
    x = 66,991,555,163.52/292,989.36
  6. Step 6: Final answer
    x = 228,648.42

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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.