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Finding the Fourth Proportional to 286,517.52, 395,398.80 and 165,686.04

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Solution

The fourth proportional to 286,517.52, 395,398.80 and 165,686.04 is: 228,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,517.52 : 395,398.80 = 165,686.04 : x
  2. Step 2: Convert to fraction form
    286,517.52/395,398.80 = 165,686.04/x
  3. Step 3: Cross multiply
    286,517.52x = 395,398.80 × 165,686.04
  4. Step 4: Simplify right side
    286,517.52x = 65,512,061,392.75
  5. Step 5: Solve for x
    x = 65,512,061,392.75/286,517.52
  6. Step 6: Final answer
    x = 228,649.41

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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.