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Finding the Fourth Proportional to 321,682.98, 482,526.30 and 85,023.16

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Solution

The fourth proportional to 321,682.98, 482,526.30 and 85,023.16 is: 127,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,682.98 : 482,526.30 = 85,023.16 : x
  2. Step 2: Convert to fraction form
    321,682.98/482,526.30 = 85,023.16/x
  3. Step 3: Cross multiply
    321,682.98x = 482,526.30 × 85,023.16
  4. Step 4: Simplify right side
    321,682.98x = 41,025,910,809.11
  5. Step 5: Solve for x
    x = 41,025,910,809.11/321,682.98
  6. Step 6: Final answer
    x = 127,535.22

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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.