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Finding the Fourth Proportional to 454,969.90, 682,126.80 and 297,287.20

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Solution

The fourth proportional to 454,969.90, 682,126.80 and 297,287.20 is: 445,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,969.90 : 682,126.80 = 297,287.20 : x
  2. Step 2: Convert to fraction form
    454,969.90/682,126.80 = 297,287.20/x
  3. Step 3: Cross multiply
    454,969.90x = 682,126.80 × 297,287.20
  4. Step 4: Simplify right side
    454,969.90x = 202,787,566,416.96
  5. Step 5: Solve for x
    x = 202,787,566,416.96/454,969.90
  6. Step 6: Final answer
    x = 445,716.45

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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.