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Finding the Fourth Proportional to 280,879.76, 419,189.86 and 269,449.04

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Solution

The fourth proportional to 280,879.76, 419,189.86 and 269,449.04 is: 402,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,879.76 : 419,189.86 = 269,449.04 : x
  2. Step 2: Convert to fraction form
    280,879.76/419,189.86 = 269,449.04/x
  3. Step 3: Cross multiply
    280,879.76x = 419,189.86 × 269,449.04
  4. Step 4: Simplify right side
    280,879.76x = 112,950,305,354.73
  5. Step 5: Solve for x
    x = 112,950,305,354.73/280,879.76
  6. Step 6: Final answer
    x = 402,130.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.