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Finding the Fourth Proportional to 280,578.61, 421,035.61 and 103,103.56

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Solution

The fourth proportional to 280,578.61, 421,035.61 and 103,103.56 is: 154,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,578.61 : 421,035.61 = 103,103.56 : x
  2. Step 2: Convert to fraction form
    280,578.61/421,035.61 = 103,103.56/x
  3. Step 3: Cross multiply
    280,578.61x = 421,035.61 × 103,103.56
  4. Step 4: Simplify right side
    280,578.61x = 43,410,269,762.25
  5. Step 5: Solve for x
    x = 43,410,269,762.25/280,578.61
  6. Step 6: Final answer
    x = 154,716.96

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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.