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Finding the Fourth Proportional to 667,283.72, 920,846.88 and 361,353.06

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Solution

The fourth proportional to 667,283.72, 920,846.88 and 361,353.06 is: 498,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,283.72 : 920,846.88 = 361,353.06 : x
  2. Step 2: Convert to fraction form
    667,283.72/920,846.88 = 361,353.06/x
  3. Step 3: Cross multiply
    667,283.72x = 920,846.88 × 361,353.06
  4. Step 4: Simplify right side
    667,283.72x = 332,750,837,879.45
  5. Step 5: Solve for x
    x = 332,750,837,879.45/667,283.72
  6. Step 6: Final answer
    x = 498,664.71

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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.