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Finding the Fourth Proportional to 220,434, 304,198.20 and 119,831.28

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Solution

The fourth proportional to 220,434, 304,198.20 and 119,831.28 is: 165,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,434 : 304,198.20 = 119,831.28 : x
  2. Step 2: Convert to fraction form
    220,434/304,198.20 = 119,831.28/x
  3. Step 3: Cross multiply
    220,434x = 304,198.20 × 119,831.28
  4. Step 4: Simplify right side
    220,434x = 36,452,459,679.70
  5. Step 5: Solve for x
    x = 36,452,459,679.70/220,434
  6. Step 6: Final answer
    x = 165,366.77

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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.