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Finding the Fourth Proportional to 280,206.86, 420,596.20 and 205,103.92

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Solution

The fourth proportional to 280,206.86, 420,596.20 and 205,103.92 is: 307,865.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,206.86 : 420,596.20 = 205,103.92 : x
  2. Step 2: Convert to fraction form
    280,206.86/420,596.20 = 205,103.92/x
  3. Step 3: Cross multiply
    280,206.86x = 420,596.20 × 205,103.92
  4. Step 4: Simplify right side
    280,206.86x = 86,265,929,357.10
  5. Step 5: Solve for x
    x = 86,265,929,357.10/280,206.86
  6. Step 6: Final answer
    x = 307,865.16

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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.