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Finding the Fourth Proportional to 280,015.65, 419,948.15 and 102,523.59

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Solution

The fourth proportional to 280,015.65, 419,948.15 and 102,523.59 is: 153,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,015.65 : 419,948.15 = 102,523.59 : x
  2. Step 2: Convert to fraction form
    280,015.65/419,948.15 = 102,523.59/x
  3. Step 3: Cross multiply
    280,015.65x = 419,948.15 × 102,523.59
  4. Step 4: Simplify right side
    280,015.65x = 43,054,591,439.24
  5. Step 5: Solve for x
    x = 43,054,591,439.24/280,015.65
  6. Step 6: Final answer
    x = 153,757.80

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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.