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Finding the Fourth Proportional to 299,302.38, 413,107.98 and 172,051.80

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Solution

The fourth proportional to 299,302.38, 413,107.98 and 172,051.80 is: 237,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,302.38 : 413,107.98 = 172,051.80 : x
  2. Step 2: Convert to fraction form
    299,302.38/413,107.98 = 172,051.80/x
  3. Step 3: Cross multiply
    299,302.38x = 413,107.98 × 172,051.80
  4. Step 4: Simplify right side
    299,302.38x = 71,075,971,553.36
  5. Step 5: Solve for x
    x = 71,075,971,553.36/299,302.38
  6. Step 6: Final answer
    x = 237,472.12

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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.