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Finding the Fourth Proportional to 280,773.50, 421,136.58 and 120,842.97

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Solution

The fourth proportional to 280,773.50, 421,136.58 and 120,842.97 is: 181,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,773.50 : 421,136.58 = 120,842.97 : x
  2. Step 2: Convert to fraction form
    280,773.50/421,136.58 = 120,842.97/x
  3. Step 3: Cross multiply
    280,773.50x = 421,136.58 × 120,842.97
  4. Step 4: Simplify right side
    280,773.50x = 50,891,394,947.49
  5. Step 5: Solve for x
    x = 50,891,394,947.49/280,773.50
  6. Step 6: Final answer
    x = 181,254.27

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1.5x scale

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.