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Finding the Fourth Proportional to 408,656.58, 611,803.89 and 259,065.78

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Solution

The fourth proportional to 408,656.58, 611,803.89 and 259,065.78 is: 387,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,656.58 : 611,803.89 = 259,065.78 : x
  2. Step 2: Convert to fraction form
    408,656.58/611,803.89 = 259,065.78/x
  3. Step 3: Cross multiply
    408,656.58x = 611,803.89 × 259,065.78
  4. Step 4: Simplify right side
    408,656.58x = 158,497,451,969.88
  5. Step 5: Solve for x
    x = 158,497,451,969.88/408,656.58
  6. Step 6: Final answer
    x = 387,849.99

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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.