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Finding the Fourth Proportional to 288,697.44, 398,395.44 and 161,388

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Solution

The fourth proportional to 288,697.44, 398,395.44 and 161,388 is: 222,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,697.44 : 398,395.44 = 161,388 : x
  2. Step 2: Convert to fraction form
    288,697.44/398,395.44 = 161,388/x
  3. Step 3: Cross multiply
    288,697.44x = 398,395.44 × 161,388
  4. Step 4: Simplify right side
    288,697.44x = 64,296,243,270.72
  5. Step 5: Solve for x
    x = 64,296,243,270.72/288,697.44
  6. Step 6: Final answer
    x = 222,711.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.