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Finding the Fourth Proportional to 303,090.41, 418,044.90 and 206,121.90

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Solution

The fourth proportional to 303,090.41, 418,044.90 and 206,121.90 is: 284,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,090.41 : 418,044.90 = 206,121.90 : x
  2. Step 2: Convert to fraction form
    303,090.41/418,044.90 = 206,121.90/x
  3. Step 3: Cross multiply
    303,090.41x = 418,044.90 × 206,121.90
  4. Step 4: Simplify right side
    303,090.41x = 86,168,209,666.62
  5. Step 5: Solve for x
    x = 86,168,209,666.62/303,090.41
  6. Step 6: Final answer
    x = 284,298.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.