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Finding the Fourth Proportional to 518,685.30, 777,716.91 and 202,765.86

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Solution

The fourth proportional to 518,685.30, 777,716.91 and 202,765.86 is: 304,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,685.30 : 777,716.91 = 202,765.86 : x
  2. Step 2: Convert to fraction form
    518,685.30/777,716.91 = 202,765.86/x
  3. Step 3: Cross multiply
    518,685.30x = 777,716.91 × 202,765.86
  4. Step 4: Simplify right side
    518,685.30x = 157,694,438,092.69
  5. Step 5: Solve for x
    x = 157,694,438,092.69/518,685.30
  6. Step 6: Final answer
    x = 304,027.20

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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.