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Finding the Fourth Proportional to 280,441.16, 420,661.74 and 149,082.44

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Solution

The fourth proportional to 280,441.16, 420,661.74 and 149,082.44 is: 223,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,441.16 : 420,661.74 = 149,082.44 : x
  2. Step 2: Convert to fraction form
    280,441.16/420,661.74 = 149,082.44/x
  3. Step 3: Cross multiply
    280,441.16x = 420,661.74 × 149,082.44
  4. Step 4: Simplify right side
    280,441.16x = 62,713,278,613.85
  5. Step 5: Solve for x
    x = 62,713,278,613.85/280,441.16
  6. Step 6: Final answer
    x = 223,623.66

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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.