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Finding the Fourth Proportional to 280,137.80, 420,232.78 and 111,617.48

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Solution

The fourth proportional to 280,137.80, 420,232.78 and 111,617.48 is: 167,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,137.80 : 420,232.78 = 111,617.48 : x
  2. Step 2: Convert to fraction form
    280,137.80/420,232.78 = 111,617.48/x
  3. Step 3: Cross multiply
    280,137.80x = 420,232.78 × 111,617.48
  4. Step 4: Simplify right side
    280,137.80x = 46,905,323,916.99
  5. Step 5: Solve for x
    x = 46,905,323,916.99/280,137.80
  6. Step 6: Final answer
    x = 167,436.61

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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.