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Finding the Fourth Proportional to 280,383.26, 386,883.29 and 165,645.95

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Solution

The fourth proportional to 280,383.26, 386,883.29 and 165,645.95 is: 228,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,383.26 : 386,883.29 = 165,645.95 : x
  2. Step 2: Convert to fraction form
    280,383.26/386,883.29 = 165,645.95/x
  3. Step 3: Cross multiply
    280,383.26x = 386,883.29 × 165,645.95
  4. Step 4: Simplify right side
    280,383.26x = 64,085,649,282.95
  5. Step 5: Solve for x
    x = 64,085,649,282.95/280,383.26
  6. Step 6: Final answer
    x = 228,564.46

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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.