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Finding the Fourth Proportional to 667,064.10, 920,541.78 and 361,132.38

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Solution

The fourth proportional to 667,064.10, 920,541.78 and 361,132.38 is: 498,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,064.10 : 920,541.78 = 361,132.38 : x
  2. Step 2: Convert to fraction form
    667,064.10/920,541.78 = 361,132.38/x
  3. Step 3: Cross multiply
    667,064.10x = 920,541.78 × 361,132.38
  4. Step 4: Simplify right side
    667,064.10x = 332,437,443,900.84
  5. Step 5: Solve for x
    x = 332,437,443,900.84/667,064.10
  6. Step 6: Final answer
    x = 498,359.07

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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.