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Finding the Fourth Proportional to 492,691.42, 680,022.99 and 320,309.32

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Solution

The fourth proportional to 492,691.42, 680,022.99 and 320,309.32 is: 442,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,691.42 : 680,022.99 = 320,309.32 : x
  2. Step 2: Convert to fraction form
    492,691.42/680,022.99 = 320,309.32/x
  3. Step 3: Cross multiply
    492,691.42x = 680,022.99 × 320,309.32
  4. Step 4: Simplify right side
    492,691.42x = 217,817,701,511.27
  5. Step 5: Solve for x
    x = 217,817,701,511.27/492,691.42
  6. Step 6: Final answer
    x = 442,097.61

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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.