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Finding the Fourth Proportional to 299,301.88, 413,107.29 and 172,051.30

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Solution

The fourth proportional to 299,301.88, 413,107.29 and 172,051.30 is: 237,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,301.88 : 413,107.29 = 172,051.30 : x
  2. Step 2: Convert to fraction form
    299,301.88/413,107.29 = 172,051.30/x
  3. Step 3: Cross multiply
    299,301.88x = 413,107.29 × 172,051.30
  4. Step 4: Simplify right side
    299,301.88x = 71,075,646,283.98
  5. Step 5: Solve for x
    x = 71,075,646,283.98/299,301.88
  6. Step 6: Final answer
    x = 237,471.43

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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.