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Finding the Fourth Proportional to 666,813, 920,194.52 and 360,882.48

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Solution

The fourth proportional to 666,813, 920,194.52 and 360,882.48 is: 498,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,813 : 920,194.52 = 360,882.48 : x
  2. Step 2: Convert to fraction form
    666,813/920,194.52 = 360,882.48/x
  3. Step 3: Cross multiply
    666,813x = 920,194.52 × 360,882.48
  4. Step 4: Simplify right side
    666,813x = 332,082,078,655.60
  5. Step 5: Solve for x
    x = 332,082,078,655.60/666,813
  6. Step 6: Final answer
    x = 498,013.80

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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.