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Finding the Fourth Proportional to 280,009.56, 419,975.01 and 80,346.96

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Solution

The fourth proportional to 280,009.56, 419,975.01 and 80,346.96 is: 120,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,009.56 : 419,975.01 = 80,346.96 : x
  2. Step 2: Convert to fraction form
    280,009.56/419,975.01 = 80,346.96/x
  3. Step 3: Cross multiply
    280,009.56x = 419,975.01 × 80,346.96
  4. Step 4: Simplify right side
    280,009.56x = 33,743,715,329.47
  5. Step 5: Solve for x
    x = 33,743,715,329.47/280,009.56
  6. Step 6: Final answer
    x = 120,509.15

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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.