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Finding the Fourth Proportional to 214,428.80, 321,124.80 and 205,097.60

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Solution

The fourth proportional to 214,428.80, 321,124.80 and 205,097.60 is: 307,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,428.80 : 321,124.80 = 205,097.60 : x
  2. Step 2: Convert to fraction form
    214,428.80/321,124.80 = 205,097.60/x
  3. Step 3: Cross multiply
    214,428.80x = 321,124.80 × 205,097.60
  4. Step 4: Simplify right side
    214,428.80x = 65,861,925,780.48
  5. Step 5: Solve for x
    x = 65,861,925,780.48/214,428.80
  6. Step 6: Final answer
    x = 307,150.56

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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.