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Finding the Fourth Proportional to 647,164.80, 970,401.60 and 272,764.80

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Solution

The fourth proportional to 647,164.80, 970,401.60 and 272,764.80 is: 409,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,164.80 : 970,401.60 = 272,764.80 : x
  2. Step 2: Convert to fraction form
    647,164.80/970,401.60 = 272,764.80/x
  3. Step 3: Cross multiply
    647,164.80x = 970,401.60 × 272,764.80
  4. Step 4: Simplify right side
    647,164.80x = 264,691,398,343.68
  5. Step 5: Solve for x
    x = 264,691,398,343.68/647,164.80
  6. Step 6: Final answer
    x = 409,001.54

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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.