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Finding the Fourth Proportional to 491,857.87, 678,765.27 and 285,166.43

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Solution

The fourth proportional to 491,857.87, 678,765.27 and 285,166.43 is: 393,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,857.87 : 678,765.27 = 285,166.43 : x
  2. Step 2: Convert to fraction form
    491,857.87/678,765.27 = 285,166.43/x
  3. Step 3: Cross multiply
    491,857.87x = 678,765.27 × 285,166.43
  4. Step 4: Simplify right side
    491,857.87x = 193,561,068,853.89
  5. Step 5: Solve for x
    x = 193,561,068,853.89/491,857.87
  6. Step 6: Final answer
    x = 393,530.49

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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.