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Finding the Fourth Proportional to 343,781.46, 515,200.77 and 259,470.18

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Solution

The fourth proportional to 343,781.46, 515,200.77 and 259,470.18 is: 388,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,781.46 : 515,200.77 = 259,470.18 : x
  2. Step 2: Convert to fraction form
    343,781.46/515,200.77 = 259,470.18/x
  3. Step 3: Cross multiply
    343,781.46x = 515,200.77 × 259,470.18
  4. Step 4: Simplify right side
    343,781.46x = 133,679,236,528.04
  5. Step 5: Solve for x
    x = 133,679,236,528.04/343,781.46
  6. Step 6: Final answer
    x = 388,849.46

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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.