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Finding the Fourth Proportional to 800,567.86, 1,200,850.33 and 260,823.50

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Solution

The fourth proportional to 800,567.86, 1,200,850.33 and 260,823.50 is: 391,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,567.86 : 1,200,850.33 = 260,823.50 : x
  2. Step 2: Convert to fraction form
    800,567.86/1,200,850.33 = 260,823.50/x
  3. Step 3: Cross multiply
    800,567.86x = 1,200,850.33 × 260,823.50
  4. Step 4: Simplify right side
    800,567.86x = 313,209,986,046.76
  5. Step 5: Solve for x
    x = 313,209,986,046.76/800,567.86
  6. Step 6: Final answer
    x = 391,234.77

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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.