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Finding the Fourth Proportional to 314,481.90, 471,204.45 and 261,605.10

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Solution

The fourth proportional to 314,481.90, 471,204.45 and 261,605.10 is: 391,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,481.90 : 471,204.45 = 261,605.10 : x
  2. Step 2: Convert to fraction form
    314,481.90/471,204.45 = 261,605.10/x
  3. Step 3: Cross multiply
    314,481.90x = 471,204.45 × 261,605.10
  4. Step 4: Simplify right side
    314,481.90x = 123,269,487,262.70
  5. Step 5: Solve for x
    x = 123,269,487,262.70/314,481.90
  6. Step 6: Final answer
    x = 391,976.41

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1.5x scale

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.