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Finding the Fourth Proportional to 220,978.20, 304,949.82 and 120,376.20

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Solution

The fourth proportional to 220,978.20, 304,949.82 and 120,376.20 is: 166,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,978.20 : 304,949.82 = 120,376.20 : x
  2. Step 2: Convert to fraction form
    220,978.20/304,949.82 = 120,376.20/x
  3. Step 3: Cross multiply
    220,978.20x = 304,949.82 × 120,376.20
  4. Step 4: Simplify right side
    220,978.20x = 36,708,700,522.28
  5. Step 5: Solve for x
    x = 36,708,700,522.28/220,978.20
  6. Step 6: Final answer
    x = 166,119.10

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1.5x scale

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.