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Finding the Fourth Proportional to 507,169.67, 699,894.17 and 280,815.17

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Solution

The fourth proportional to 507,169.67, 699,894.17 and 280,815.17 is: 387,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,169.67 : 699,894.17 = 280,815.17 : x
  2. Step 2: Convert to fraction form
    507,169.67/699,894.17 = 280,815.17/x
  3. Step 3: Cross multiply
    507,169.67x = 699,894.17 × 280,815.17
  4. Step 4: Simplify right side
    507,169.67x = 196,540,900,330.56
  5. Step 5: Solve for x
    x = 196,540,900,330.56/507,169.67
  6. Step 6: Final answer
    x = 387,524.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.