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Finding the Fourth Proportional to 456,917.28, 685,659.36 and 220,284

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Solution

The fourth proportional to 456,917.28, 685,659.36 and 220,284 is: 330,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,917.28 : 685,659.36 = 220,284 : x
  2. Step 2: Convert to fraction form
    456,917.28/685,659.36 = 220,284/x
  3. Step 3: Cross multiply
    456,917.28x = 685,659.36 × 220,284
  4. Step 4: Simplify right side
    456,917.28x = 151,039,786,458.24
  5. Step 5: Solve for x
    x = 151,039,786,458.24/456,917.28
  6. Step 6: Final answer
    x = 330,562.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.