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Finding the Fourth Proportional to 280,383.42, 420,326.36 and 102,849.60

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Solution

The fourth proportional to 280,383.42, 420,326.36 and 102,849.60 is: 154,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,383.42 : 420,326.36 = 102,849.60 : x
  2. Step 2: Convert to fraction form
    280,383.42/420,326.36 = 102,849.60/x
  3. Step 3: Cross multiply
    280,383.42x = 420,326.36 × 102,849.60
  4. Step 4: Simplify right side
    280,383.42x = 43,230,397,657.31
  5. Step 5: Solve for x
    x = 43,230,397,657.31/280,383.42
  6. Step 6: Final answer
    x = 154,183.14

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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.