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Finding the Fourth Proportional to 415,162.62, 620,469.20 and 303,078.86

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Solution

The fourth proportional to 415,162.62, 620,469.20 and 303,078.86 is: 452,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,162.62 : 620,469.20 = 303,078.86 : x
  2. Step 2: Convert to fraction form
    415,162.62/620,469.20 = 303,078.86/x
  3. Step 3: Cross multiply
    415,162.62x = 620,469.20 × 303,078.86
  4. Step 4: Simplify right side
    415,162.62x = 188,051,097,801.11
  5. Step 5: Solve for x
    x = 188,051,097,801.11/415,162.62
  6. Step 6: Final answer
    x = 452,957.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.