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Finding the Fourth Proportional to 280,758.53, 421,181.52 and 168,412.34

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Solution

The fourth proportional to 280,758.53, 421,181.52 and 168,412.34 is: 252,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,758.53 : 421,181.52 = 168,412.34 : x
  2. Step 2: Convert to fraction form
    280,758.53/421,181.52 = 168,412.34/x
  3. Step 3: Cross multiply
    280,758.53x = 421,181.52 × 168,412.34
  4. Step 4: Simplify right side
    280,758.53x = 70,932,163,242.05
  5. Step 5: Solve for x
    x = 70,932,163,242.05/280,758.53
  6. Step 6: Final answer
    x = 252,644.74

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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.