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Finding the Fourth Proportional to 667,155.23, 920,674.65 and 361,231.83

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Solution

The fourth proportional to 667,155.23, 920,674.65 and 361,231.83 is: 498,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,155.23 : 920,674.65 = 361,231.83 : x
  2. Step 2: Convert to fraction form
    667,155.23/920,674.65 = 361,231.83/x
  3. Step 3: Cross multiply
    667,155.23x = 920,674.65 × 361,231.83
  4. Step 4: Simplify right side
    667,155.23x = 332,576,988,654.11
  5. Step 5: Solve for x
    x = 332,576,988,654.11/667,155.23
  6. Step 6: Final answer
    x = 498,500.16

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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.