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Finding the Fourth Proportional to 324,135, 486,204.66 and 102,519

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Solution

The fourth proportional to 324,135, 486,204.66 and 102,519 is: 153,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,135 : 486,204.66 = 102,519 : x
  2. Step 2: Convert to fraction form
    324,135/486,204.66 = 102,519/x
  3. Step 3: Cross multiply
    324,135x = 486,204.66 × 102,519
  4. Step 4: Simplify right side
    324,135x = 49,845,215,538.54
  5. Step 5: Solve for x
    x = 49,845,215,538.54/324,135
  6. Step 6: Final answer
    x = 153,779.18

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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.