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Finding the Fourth Proportional to 667,057.70, 920,533 and 361,125.98

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Solution

The fourth proportional to 667,057.70, 920,533 and 361,125.98 is: 498,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,057.70 : 920,533 = 361,125.98 : x
  2. Step 2: Convert to fraction form
    667,057.70/920,533 = 361,125.98/x
  3. Step 3: Cross multiply
    667,057.70x = 920,533 × 361,125.98
  4. Step 4: Simplify right side
    667,057.70x = 332,428,381,747.34
  5. Step 5: Solve for x
    x = 332,428,381,747.34/667,057.70
  6. Step 6: Final answer
    x = 498,350.27

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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.