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Finding the Fourth Proportional to 280,136.20, 420,140.22 and 80,455

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Solution

The fourth proportional to 280,136.20, 420,140.22 and 80,455 is: 120,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,136.20 : 420,140.22 = 80,455 : x
  2. Step 2: Convert to fraction form
    280,136.20/420,140.22 = 80,455/x
  3. Step 3: Cross multiply
    280,136.20x = 420,140.22 × 80,455
  4. Step 4: Simplify right side
    280,136.20x = 33,802,381,400.10
  5. Step 5: Solve for x
    x = 33,802,381,400.10/280,136.20
  6. Step 6: Final answer
    x = 120,664.10

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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.