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Finding the Fourth Proportional to 516,418.72, 774,752.64 and 179,410.48

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Solution

The fourth proportional to 516,418.72, 774,752.64 and 179,410.48 is: 269,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,418.72 : 774,752.64 = 179,410.48 : x
  2. Step 2: Convert to fraction form
    516,418.72/774,752.64 = 179,410.48/x
  3. Step 3: Cross multiply
    516,418.72x = 774,752.64 × 179,410.48
  4. Step 4: Simplify right side
    516,418.72x = 138,998,743,023.67
  5. Step 5: Solve for x
    x = 138,998,743,023.67/516,418.72
  6. Step 6: Final answer
    x = 269,158.99

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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.