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Finding the Fourth Proportional to 280,683.20, 421,059.80 and 109,882.83

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Solution

The fourth proportional to 280,683.20, 421,059.80 and 109,882.83 is: 164,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,683.20 : 421,059.80 = 109,882.83 : x
  2. Step 2: Convert to fraction form
    280,683.20/421,059.80 = 109,882.83/x
  3. Step 3: Cross multiply
    280,683.20x = 421,059.80 × 109,882.83
  4. Step 4: Simplify right side
    280,683.20x = 46,267,244,276.92
  5. Step 5: Solve for x
    x = 46,267,244,276.92/280,683.20
  6. Step 6: Final answer
    x = 164,837.96

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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.