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Finding the Fourth Proportional to 445,494.80, 668,247.78 and 294,657.42

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Solution

The fourth proportional to 445,494.80, 668,247.78 and 294,657.42 is: 441,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,494.80 : 668,247.78 = 294,657.42 : x
  2. Step 2: Convert to fraction form
    445,494.80/668,247.78 = 294,657.42/x
  3. Step 3: Cross multiply
    445,494.80x = 668,247.78 × 294,657.42
  4. Step 4: Simplify right side
    445,494.80x = 196,904,166,775.53
  5. Step 5: Solve for x
    x = 196,904,166,775.53/445,494.80
  6. Step 6: Final answer
    x = 441,989.82

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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.