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Finding the Fourth Proportional to 214,931.20, 322,396.80 and 188,687.20

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Solution

The fourth proportional to 214,931.20, 322,396.80 and 188,687.20 is: 283,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,931.20 : 322,396.80 = 188,687.20 : x
  2. Step 2: Convert to fraction form
    214,931.20/322,396.80 = 188,687.20/x
  3. Step 3: Cross multiply
    214,931.20x = 322,396.80 × 188,687.20
  4. Step 4: Simplify right side
    214,931.20x = 60,832,149,480.96
  5. Step 5: Solve for x
    x = 60,832,149,480.96/214,931.20
  6. Step 6: Final answer
    x = 283,030.80

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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.