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Finding the Fourth Proportional to 343,895.20, 515,842.80 and 255,321.70

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Solution

The fourth proportional to 343,895.20, 515,842.80 and 255,321.70 is: 382,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,895.20 : 515,842.80 = 255,321.70 : x
  2. Step 2: Convert to fraction form
    343,895.20/515,842.80 = 255,321.70/x
  3. Step 3: Cross multiply
    343,895.20x = 515,842.80 × 255,321.70
  4. Step 4: Simplify right side
    343,895.20x = 131,705,860,628.76
  5. Step 5: Solve for x
    x = 131,705,860,628.76/343,895.20
  6. Step 6: Final answer
    x = 382,982.55

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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.