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Finding the Fourth Proportional to 220,980.69, 304,953.30 and 120,378.69

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Solution

The fourth proportional to 220,980.69, 304,953.30 and 120,378.69 is: 166,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,980.69 : 304,953.30 = 120,378.69 : x
  2. Step 2: Convert to fraction form
    220,980.69/304,953.30 = 120,378.69/x
  3. Step 3: Cross multiply
    220,980.69x = 304,953.30 × 120,378.69
  4. Step 4: Simplify right side
    220,980.69x = 36,709,878,765.18
  5. Step 5: Solve for x
    x = 36,709,878,765.18/220,980.69
  6. Step 6: Final answer
    x = 166,122.56

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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.