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Finding the Fourth Proportional to 299,356.47, 448,796.25 and 172,853.10

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Solution

The fourth proportional to 299,356.47, 448,796.25 and 172,853.10 is: 259,141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,356.47 : 448,796.25 = 172,853.10 : x
  2. Step 2: Convert to fraction form
    299,356.47/448,796.25 = 172,853.10/x
  3. Step 3: Cross multiply
    299,356.47x = 448,796.25 × 172,853.10
  4. Step 4: Simplify right side
    299,356.47x = 77,575,823,080.88
  5. Step 5: Solve for x
    x = 77,575,823,080.88/299,356.47
  6. Step 6: Final answer
    x = 259,141.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.