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Finding the Fourth Proportional to 491,868.60, 678,803.94 and 300,822

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Solution

The fourth proportional to 491,868.60, 678,803.94 and 300,822 is: 415,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,868.60 : 678,803.94 = 300,822 : x
  2. Step 2: Convert to fraction form
    491,868.60/678,803.94 = 300,822/x
  3. Step 3: Cross multiply
    491,868.60x = 678,803.94 × 300,822
  4. Step 4: Simplify right side
    491,868.60x = 204,199,158,838.68
  5. Step 5: Solve for x
    x = 204,199,158,838.68/491,868.60
  6. Step 6: Final answer
    x = 415,149.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.