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Finding the Fourth Proportional to 299,285.11, 413,084.37 and 172,034.65

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Solution

The fourth proportional to 299,285.11, 413,084.37 and 172,034.65 is: 237,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,285.11 : 413,084.37 = 172,034.65 : x
  2. Step 2: Convert to fraction form
    299,285.11/413,084.37 = 172,034.65/x
  3. Step 3: Cross multiply
    299,285.11x = 413,084.37 × 172,034.65
  4. Step 4: Simplify right side
    299,285.11x = 71,064,825,013.42
  5. Step 5: Solve for x
    x = 71,064,825,013.42/299,285.11
  6. Step 6: Final answer
    x = 237,448.58

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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.