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Finding the Fourth Proportional to 280,343, 420,689.46 and 114,131

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Solution

The fourth proportional to 280,343, 420,689.46 and 114,131 is: 171,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,343 : 420,689.46 = 114,131 : x
  2. Step 2: Convert to fraction form
    280,343/420,689.46 = 114,131/x
  3. Step 3: Cross multiply
    280,343x = 420,689.46 × 114,131
  4. Step 4: Simplify right side
    280,343x = 48,013,708,759.26
  5. Step 5: Solve for x
    x = 48,013,708,759.26/280,343
  6. Step 6: Final answer
    x = 171,267.73

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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.