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Finding the Fourth Proportional to 280,379.13, 420,464.79 and 100,436.51

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Solution

The fourth proportional to 280,379.13, 420,464.79 and 100,436.51 is: 150,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,379.13 : 420,464.79 = 100,436.51 : x
  2. Step 2: Convert to fraction form
    280,379.13/420,464.79 = 100,436.51/x
  3. Step 3: Cross multiply
    280,379.13x = 420,464.79 × 100,436.51
  4. Step 4: Simplify right side
    280,379.13x = 42,230,017,136.64
  5. Step 5: Solve for x
    x = 42,230,017,136.64/280,379.13
  6. Step 6: Final answer
    x = 150,617.55

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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.