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Finding the Fourth Proportional to 220,908.01, 305,032.82 and 180,078.54

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Solution

The fourth proportional to 220,908.01, 305,032.82 and 180,078.54 is: 248,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,908.01 : 305,032.82 = 180,078.54 : x
  2. Step 2: Convert to fraction form
    220,908.01/305,032.82 = 180,078.54/x
  3. Step 3: Cross multiply
    220,908.01x = 305,032.82 × 180,078.54
  4. Step 4: Simplify right side
    220,908.01x = 54,929,865,562.17
  5. Step 5: Solve for x
    x = 54,929,865,562.17/220,908.01
  6. Step 6: Final answer
    x = 248,654.93

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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.