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Finding the Fourth Proportional to 667,376.28, 920,978.91 and 361,452.66

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Solution

The fourth proportional to 667,376.28, 920,978.91 and 361,452.66 is: 498,804.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,376.28 : 920,978.91 = 361,452.66 : x
  2. Step 2: Convert to fraction form
    667,376.28/920,978.91 = 361,452.66/x
  3. Step 3: Cross multiply
    667,376.28x = 920,978.91 × 361,452.66
  4. Step 4: Simplify right side
    667,376.28x = 332,890,276,823.40
  5. Step 5: Solve for x
    x = 332,890,276,823.40/667,376.28
  6. Step 6: Final answer
    x = 498,804.48

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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.