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Finding the Fourth Proportional to 493,317.57, 680,781.60 and 289,489.17

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Solution

The fourth proportional to 493,317.57, 680,781.60 and 289,489.17 is: 399,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,317.57 : 680,781.60 = 289,489.17 : x
  2. Step 2: Convert to fraction form
    493,317.57/680,781.60 = 289,489.17/x
  3. Step 3: Cross multiply
    493,317.57x = 680,781.60 × 289,489.17
  4. Step 4: Simplify right side
    493,317.57x = 197,078,900,335.27
  5. Step 5: Solve for x
    x = 197,078,900,335.27/493,317.57
  6. Step 6: Final answer
    x = 399,497.02

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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.