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Finding the Fourth Proportional to 220,932, 304,886.16 and 120,330

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Solution

The fourth proportional to 220,932, 304,886.16 and 120,330 is: 166,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,932 : 304,886.16 = 120,330 : x
  2. Step 2: Convert to fraction form
    220,932/304,886.16 = 120,330/x
  3. Step 3: Cross multiply
    220,932x = 304,886.16 × 120,330
  4. Step 4: Simplify right side
    220,932x = 36,686,951,632.80
  5. Step 5: Solve for x
    x = 36,686,951,632.80/220,932
  6. Step 6: Final answer
    x = 166,055.40

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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.