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Finding the Fourth Proportional to 321,682.95, 482,528.48 and 85,023.54

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Solution

The fourth proportional to 321,682.95, 482,528.48 and 85,023.54 is: 127,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,682.95 : 482,528.48 = 85,023.54 : x
  2. Step 2: Convert to fraction form
    321,682.95/482,528.48 = 85,023.54/x
  3. Step 3: Cross multiply
    321,682.95x = 482,528.48 × 85,023.54
  4. Step 4: Simplify right side
    321,682.95x = 41,026,279,095.30
  5. Step 5: Solve for x
    x = 41,026,279,095.30/321,682.95
  6. Step 6: Final answer
    x = 127,536.38

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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.