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Finding the Fourth Proportional to 324,098.30, 447,113.24 and 309,090

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Solution

The fourth proportional to 324,098.30, 447,113.24 and 309,090 is: 426,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,098.30 : 447,113.24 = 309,090 : x
  2. Step 2: Convert to fraction form
    324,098.30/447,113.24 = 309,090/x
  3. Step 3: Cross multiply
    324,098.30x = 447,113.24 × 309,090
  4. Step 4: Simplify right side
    324,098.30x = 138,198,229,806.15
  5. Step 5: Solve for x
    x = 138,198,229,806.15/324,098.30
  6. Step 6: Final answer
    x = 426,408.38

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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.