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Finding the Fourth Proportional to 445,778.38, 668,644.02 and 146,219.50

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Solution

The fourth proportional to 445,778.38, 668,644.02 and 146,219.50 is: 219,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,778.38 : 668,644.02 = 146,219.50 : x
  2. Step 2: Convert to fraction form
    445,778.38/668,644.02 = 146,219.50/x
  3. Step 3: Cross multiply
    445,778.38x = 668,644.02 × 146,219.50
  4. Step 4: Simplify right side
    445,778.38x = 97,768,794,282.39
  5. Step 5: Solve for x
    x = 97,768,794,282.39/445,778.38
  6. Step 6: Final answer
    x = 219,321.53

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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.