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Finding the Fourth Proportional to 280,991.90, 421,290.72 and 103,476.15

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Solution

The fourth proportional to 280,991.90, 421,290.72 and 103,476.15 is: 155,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,991.90 : 421,290.72 = 103,476.15 : x
  2. Step 2: Convert to fraction form
    280,991.90/421,290.72 = 103,476.15/x
  3. Step 3: Cross multiply
    280,991.90x = 421,290.72 × 103,476.15
  4. Step 4: Simplify right side
    280,991.90x = 43,593,541,736.33
  5. Step 5: Solve for x
    x = 43,593,541,736.33/280,991.90
  6. Step 6: Final answer
    x = 155,141.63

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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.