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Finding the Fourth Proportional to 220,804, 304,710.24 and 120,202.72

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Solution

The fourth proportional to 220,804, 304,710.24 and 120,202.72 is: 165,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,804 : 304,710.24 = 120,202.72 : x
  2. Step 2: Convert to fraction form
    220,804/304,710.24 = 120,202.72/x
  3. Step 3: Cross multiply
    220,804x = 304,710.24 × 120,202.72
  4. Step 4: Simplify right side
    220,804x = 36,626,999,659.85
  5. Step 5: Solve for x
    x = 36,626,999,659.85/220,804
  6. Step 6: Final answer
    x = 165,880.15

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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.