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Finding the Fourth Proportional to 878,286.42, 1,211,978.97 and 491,133.74

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Solution

The fourth proportional to 878,286.42, 1,211,978.97 and 491,133.74 is: 677,733.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,286.42 : 1,211,978.97 = 491,133.74 : x
  2. Step 2: Convert to fraction form
    878,286.42/1,211,978.97 = 491,133.74/x
  3. Step 3: Cross multiply
    878,286.42x = 1,211,978.97 × 491,133.74
  4. Step 4: Simplify right side
    878,286.42x = 595,243,764,337.45
  5. Step 5: Solve for x
    x = 595,243,764,337.45/878,286.42
  6. Step 6: Final answer
    x = 677,733.08

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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.