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Finding the Fourth Proportional to 299,731.20, 413,655.30 and 172,447.80

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Solution

The fourth proportional to 299,731.20, 413,655.30 and 172,447.80 is: 237,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,731.20 : 413,655.30 = 172,447.80 : x
  2. Step 2: Convert to fraction form
    299,731.20/413,655.30 = 172,447.80/x
  3. Step 3: Cross multiply
    299,731.20x = 413,655.30 × 172,447.80
  4. Step 4: Simplify right side
    299,731.20x = 71,333,946,443.34
  5. Step 5: Solve for x
    x = 71,333,946,443.34/299,731.20
  6. Step 6: Final answer
    x = 237,993.06

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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.