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Finding the Fourth Proportional to 280,168.92, 419,635.62 and 231,585.66

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Solution

The fourth proportional to 280,168.92, 419,635.62 and 231,585.66 is: 346,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,168.92 : 419,635.62 = 231,585.66 : x
  2. Step 2: Convert to fraction form
    280,168.92/419,635.62 = 231,585.66/x
  3. Step 3: Cross multiply
    280,168.92x = 419,635.62 × 231,585.66
  4. Step 4: Simplify right side
    280,168.92x = 97,181,592,017.21
  5. Step 5: Solve for x
    x = 97,181,592,017.21/280,168.92
  6. Step 6: Final answer
    x = 346,867.85

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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.