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Finding the Fourth Proportional to 299,447.25, 448,777.17 and 147,727.77

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Solution

The fourth proportional to 299,447.25, 448,777.17 and 147,727.77 is: 221,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,447.25 : 448,777.17 = 147,727.77 : x
  2. Step 2: Convert to fraction form
    299,447.25/448,777.17 = 147,727.77/x
  3. Step 3: Cross multiply
    299,447.25x = 448,777.17 × 147,727.77
  4. Step 4: Simplify right side
    299,447.25x = 66,296,850,551.01
  5. Step 5: Solve for x
    x = 66,296,850,551.01/299,447.25
  6. Step 6: Final answer
    x = 221,397.43

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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.