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Finding the Fourth Proportional to 308,897.20, 462,568.20 and 203,143.60

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Solution

The fourth proportional to 308,897.20, 462,568.20 and 203,143.60 is: 304,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,897.20 : 462,568.20 = 203,143.60 : x
  2. Step 2: Convert to fraction form
    308,897.20/462,568.20 = 203,143.60/x
  3. Step 3: Cross multiply
    308,897.20x = 462,568.20 × 203,143.60
  4. Step 4: Simplify right side
    308,897.20x = 93,967,769,393.52
  5. Step 5: Solve for x
    x = 93,967,769,393.52/308,897.20
  6. Step 6: Final answer
    x = 304,204.02

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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.