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Finding the Fourth Proportional to 280,285.89, 420,500.82 and 80,621.91

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Solution

The fourth proportional to 280,285.89, 420,500.82 and 80,621.91 is: 120,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,285.89 : 420,500.82 = 80,621.91 : x
  2. Step 2: Convert to fraction form
    280,285.89/420,500.82 = 80,621.91/x
  3. Step 3: Cross multiply
    280,285.89x = 420,500.82 × 80,621.91
  4. Step 4: Simplify right side
    280,285.89x = 33,901,579,264.97
  5. Step 5: Solve for x
    x = 33,901,579,264.97/280,285.89
  6. Step 6: Final answer
    x = 120,953.57

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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.