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Finding the Fourth Proportional to 323,780.10, 486,107.55 and 205,682.10

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Solution

The fourth proportional to 323,780.10, 486,107.55 and 205,682.10 is: 308,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,780.10 : 486,107.55 = 205,682.10 : x
  2. Step 2: Convert to fraction form
    323,780.10/486,107.55 = 205,682.10/x
  3. Step 3: Cross multiply
    323,780.10x = 486,107.55 × 205,682.10
  4. Step 4: Simplify right side
    323,780.10x = 99,983,621,709.86
  5. Step 5: Solve for x
    x = 99,983,621,709.86/323,780.10
  6. Step 6: Final answer
    x = 308,801.01

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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.