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Finding the Fourth Proportional to 395,309.85, 545,617.26 and 309,098.31

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Solution

The fourth proportional to 395,309.85, 545,617.26 and 309,098.31 is: 426,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,309.85 : 545,617.26 = 309,098.31 : x
  2. Step 2: Convert to fraction form
    395,309.85/545,617.26 = 309,098.31/x
  3. Step 3: Cross multiply
    395,309.85x = 545,617.26 × 309,098.31
  4. Step 4: Simplify right side
    395,309.85x = 168,649,372,972.83
  5. Step 5: Solve for x
    x = 168,649,372,972.83/395,309.85
  6. Step 6: Final answer
    x = 426,625.78

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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.