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Finding the Fourth Proportional to 323,637.10, 485,377.86 and 165,784.30

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Solution

The fourth proportional to 323,637.10, 485,377.86 and 165,784.30 is: 248,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,637.10 : 485,377.86 = 165,784.30 : x
  2. Step 2: Convert to fraction form
    323,637.10/485,377.86 = 165,784.30/x
  3. Step 3: Cross multiply
    323,637.10x = 485,377.86 × 165,784.30
  4. Step 4: Simplify right side
    323,637.10x = 80,468,028,755.60
  5. Step 5: Solve for x
    x = 80,468,028,755.60/323,637.10
  6. Step 6: Final answer
    x = 248,636.60

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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.