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Finding the Fourth Proportional to 323,568, 485,447.76 and 165,907.08

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Solution

The fourth proportional to 323,568, 485,447.76 and 165,907.08 is: 248,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,568 : 485,447.76 = 165,907.08 : x
  2. Step 2: Convert to fraction form
    323,568/485,447.76 = 165,907.08/x
  3. Step 3: Cross multiply
    323,568x = 485,447.76 × 165,907.08
  4. Step 4: Simplify right side
    323,568x = 80,539,220,354.14
  5. Step 5: Solve for x
    x = 80,539,220,354.14/323,568
  6. Step 6: Final answer
    x = 248,909.72

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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.