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Finding the Fourth Proportional to 515,843.40, 773,765.10 and 279,647.40

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Solution

The fourth proportional to 515,843.40, 773,765.10 and 279,647.40 is: 419,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,843.40 : 773,765.10 = 279,647.40 : x
  2. Step 2: Convert to fraction form
    515,843.40/773,765.10 = 279,647.40/x
  3. Step 3: Cross multiply
    515,843.40x = 773,765.10 × 279,647.40
  4. Step 4: Simplify right side
    515,843.40x = 216,381,398,425.74
  5. Step 5: Solve for x
    x = 216,381,398,425.74/515,843.40
  6. Step 6: Final answer
    x = 419,471.10

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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.