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Finding the Fourth Proportional to 299,345.83, 413,097.06 and 172,021.12

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Solution

The fourth proportional to 299,345.83, 413,097.06 and 172,021.12 is: 237,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,345.83 : 413,097.06 = 172,021.12 : x
  2. Step 2: Convert to fraction form
    299,345.83/413,097.06 = 172,021.12/x
  3. Step 3: Cross multiply
    299,345.83x = 413,097.06 × 172,021.12
  4. Step 4: Simplify right side
    299,345.83x = 71,061,418,542.24
  5. Step 5: Solve for x
    x = 71,061,418,542.24/299,345.83
  6. Step 6: Final answer
    x = 237,389.04

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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.