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Finding the Fourth Proportional to 323,206.80, 485,587.80 and 288,992.40

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Solution

The fourth proportional to 323,206.80, 485,587.80 and 288,992.40 is: 434,183.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,206.80 : 485,587.80 = 288,992.40 : x
  2. Step 2: Convert to fraction form
    323,206.80/485,587.80 = 288,992.40/x
  3. Step 3: Cross multiply
    323,206.80x = 485,587.80 × 288,992.40
  4. Step 4: Simplify right side
    323,206.80x = 140,331,183,732.72
  5. Step 5: Solve for x
    x = 140,331,183,732.72/323,206.80
  6. Step 6: Final answer
    x = 434,183.88

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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.