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Finding the Fourth Proportional to 299,706.08, 413,606.24 and 172,381.44

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Solution

The fourth proportional to 299,706.08, 413,606.24 and 172,381.44 is: 237,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,706.08 : 413,606.24 = 172,381.44 : x
  2. Step 2: Convert to fraction form
    299,706.08/413,606.24 = 172,381.44/x
  3. Step 3: Cross multiply
    299,706.08x = 413,606.24 × 172,381.44
  4. Step 4: Simplify right side
    299,706.08x = 71,298,039,244.19
  5. Step 5: Solve for x
    x = 71,298,039,244.19/299,706.08
  6. Step 6: Final answer
    x = 237,893.20

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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.