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Finding the Fourth Proportional to 323,853.85, 485,780.78 and 317,633.05

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Solution

The fourth proportional to 323,853.85, 485,780.78 and 317,633.05 is: 476,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,853.85 : 485,780.78 = 317,633.05 : x
  2. Step 2: Convert to fraction form
    323,853.85/485,780.78 = 317,633.05/x
  3. Step 3: Cross multiply
    323,853.85x = 485,780.78 × 317,633.05
  4. Step 4: Simplify right side
    323,853.85x = 154,300,029,194.61
  5. Step 5: Solve for x
    x = 154,300,029,194.61/323,853.85
  6. Step 6: Final answer
    x = 476,449.58

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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.