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Finding the Fourth Proportional to 344,839.20, 517,647.60 and 266,301.60

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Solution

The fourth proportional to 344,839.20, 517,647.60 and 266,301.60 is: 399,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,839.20 : 517,647.60 = 266,301.60 : x
  2. Step 2: Convert to fraction form
    344,839.20/517,647.60 = 266,301.60/x
  3. Step 3: Cross multiply
    344,839.20x = 517,647.60 × 266,301.60
  4. Step 4: Simplify right side
    344,839.20x = 137,850,384,116.16
  5. Step 5: Solve for x
    x = 137,850,384,116.16/344,839.20
  6. Step 6: Final answer
    x = 399,752.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.