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Finding the Fourth Proportional to 280,751.69, 420,874.81 and 103,220.75

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Solution

The fourth proportional to 280,751.69, 420,874.81 and 103,220.75 is: 154,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,751.69 : 420,874.81 = 103,220.75 : x
  2. Step 2: Convert to fraction form
    280,751.69/420,874.81 = 103,220.75/x
  3. Step 3: Cross multiply
    280,751.69x = 420,874.81 × 103,220.75
  4. Step 4: Simplify right side
    280,751.69x = 43,443,012,621.15
  5. Step 5: Solve for x
    x = 43,443,012,621.15/280,751.69
  6. Step 6: Final answer
    x = 154,738.21

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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.