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Finding the Fourth Proportional to 378,882.30, 567,831.37 and 153,981.03

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Solution

The fourth proportional to 378,882.30, 567,831.37 and 153,981.03 is: 230,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,882.30 : 567,831.37 = 153,981.03 : x
  2. Step 2: Convert to fraction form
    378,882.30/567,831.37 = 153,981.03/x
  3. Step 3: Cross multiply
    378,882.30x = 567,831.37 × 153,981.03
  4. Step 4: Simplify right side
    378,882.30x = 87,435,259,218.91
  5. Step 5: Solve for x
    x = 87,435,259,218.91/378,882.30
  6. Step 6: Final answer
    x = 230,771.56

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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.