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Finding the Fourth Proportional to 325,214.76, 487,822.14 and 214,380.84

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Solution

The fourth proportional to 325,214.76, 487,822.14 and 214,380.84 is: 321,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,214.76 : 487,822.14 = 214,380.84 : x
  2. Step 2: Convert to fraction form
    325,214.76/487,822.14 = 214,380.84/x
  3. Step 3: Cross multiply
    325,214.76x = 487,822.14 × 214,380.84
  4. Step 4: Simplify right side
    325,214.76x = 104,579,720,143.80
  5. Step 5: Solve for x
    x = 104,579,720,143.80/325,214.76
  6. Step 6: Final answer
    x = 321,571.26

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Similar ratio
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1.5x scale

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.