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Finding the Fourth Proportional to 313,978.20, 471,918.86 and 207,724.60

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Solution

The fourth proportional to 313,978.20, 471,918.86 and 207,724.60 is: 312,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,978.20 : 471,918.86 = 207,724.60 : x
  2. Step 2: Convert to fraction form
    313,978.20/471,918.86 = 207,724.60/x
  3. Step 3: Cross multiply
    313,978.20x = 471,918.86 × 207,724.60
  4. Step 4: Simplify right side
    313,978.20x = 98,029,156,425.96
  5. Step 5: Solve for x
    x = 98,029,156,425.96/313,978.20
  6. Step 6: Final answer
    x = 312,216.44

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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.