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Finding the Fourth Proportional to 280,378.80, 420,464.28 and 100,436.18

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Solution

The fourth proportional to 280,378.80, 420,464.28 and 100,436.18 is: 150,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,378.80 : 420,464.28 = 100,436.18 : x
  2. Step 2: Convert to fraction form
    280,378.80/420,464.28 = 100,436.18/x
  3. Step 3: Cross multiply
    280,378.80x = 420,464.28 × 100,436.18
  4. Step 4: Simplify right side
    280,378.80x = 42,229,826,109.65
  5. Step 5: Solve for x
    x = 42,229,826,109.65/280,378.80
  6. Step 6: Final answer
    x = 150,617.04

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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.