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Finding the Fourth Proportional to 280,164.32, 419,861.01 and 120,048.58

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Solution

The fourth proportional to 280,164.32, 419,861.01 and 120,048.58 is: 179,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,164.32 : 419,861.01 = 120,048.58 : x
  2. Step 2: Convert to fraction form
    280,164.32/419,861.01 = 120,048.58/x
  3. Step 3: Cross multiply
    280,164.32x = 419,861.01 × 120,048.58
  4. Step 4: Simplify right side
    280,164.32x = 50,403,718,685.24
  5. Step 5: Solve for x
    x = 50,403,718,685.24/280,164.32
  6. Step 6: Final answer
    x = 179,907.70

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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.