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Finding the Fourth Proportional to 220,890, 304,831.44 and 120,288

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Solution

The fourth proportional to 220,890, 304,831.44 and 120,288 is: 165,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,890 : 304,831.44 = 120,288 : x
  2. Step 2: Convert to fraction form
    220,890/304,831.44 = 120,288/x
  3. Step 3: Cross multiply
    220,890x = 304,831.44 × 120,288
  4. Step 4: Simplify right side
    220,890x = 36,667,564,254.72
  5. Step 5: Solve for x
    x = 36,667,564,254.72/220,890
  6. Step 6: Final answer
    x = 165,999.20

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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.