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Finding the Fourth Proportional to 498,722.97, 688,198.66 and 280,922.11

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Solution

The fourth proportional to 498,722.97, 688,198.66 and 280,922.11 is: 387,650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,722.97 : 688,198.66 = 280,922.11 : x
  2. Step 2: Convert to fraction form
    498,722.97/688,198.66 = 280,922.11/x
  3. Step 3: Cross multiply
    498,722.97x = 688,198.66 × 280,922.11
  4. Step 4: Simplify right side
    498,722.97x = 193,330,219,666.37
  5. Step 5: Solve for x
    x = 193,330,219,666.37/498,722.97
  6. Step 6: Final answer
    x = 387,650.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.