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Finding the Fourth Proportional to 280,879.64, 421,381.90 and 131,038.19

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Solution

The fourth proportional to 280,879.64, 421,381.90 and 131,038.19 is: 196,586.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,879.64 : 421,381.90 = 131,038.19 : x
  2. Step 2: Convert to fraction form
    280,879.64/421,381.90 = 131,038.19/x
  3. Step 3: Cross multiply
    280,879.64x = 421,381.90 × 131,038.19
  4. Step 4: Simplify right side
    280,879.64x = 55,217,120,819.57
  5. Step 5: Solve for x
    x = 55,217,120,819.57/280,879.64
  6. Step 6: Final answer
    x = 196,586.41

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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.