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Finding the Fourth Proportional to 308,141.40, 462,212.10 and 202,387.80

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Solution

The fourth proportional to 308,141.40, 462,212.10 and 202,387.80 is: 303,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,141.40 : 462,212.10 = 202,387.80 : x
  2. Step 2: Convert to fraction form
    308,141.40/462,212.10 = 202,387.80/x
  3. Step 3: Cross multiply
    308,141.40x = 462,212.10 × 202,387.80
  4. Step 4: Simplify right side
    308,141.40x = 93,546,090,052.38
  5. Step 5: Solve for x
    x = 93,546,090,052.38/308,141.40
  6. Step 6: Final answer
    x = 303,581.70

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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.