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Finding the Fourth Proportional to 485,063.82, 727,418.34 and 185,396.22

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Solution

The fourth proportional to 485,063.82, 727,418.34 and 185,396.22 is: 278,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,063.82 : 727,418.34 = 185,396.22 : x
  2. Step 2: Convert to fraction form
    485,063.82/727,418.34 = 185,396.22/x
  3. Step 3: Cross multiply
    485,063.82x = 727,418.34 × 185,396.22
  4. Step 4: Simplify right side
    485,063.82x = 134,860,610,594.68
  5. Step 5: Solve for x
    x = 134,860,610,594.68/485,063.82
  6. Step 6: Final answer
    x = 278,026.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.