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Finding the Fourth Proportional to 299,661.05, 413,544.81 and 172,336.74

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Solution

The fourth proportional to 299,661.05, 413,544.81 and 172,336.74 is: 237,831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,661.05 : 413,544.81 = 172,336.74 : x
  2. Step 2: Convert to fraction form
    299,661.05/413,544.81 = 172,336.74/x
  3. Step 3: Cross multiply
    299,661.05x = 413,544.81 × 172,336.74
  4. Step 4: Simplify right side
    299,661.05x = 71,268,964,399.32
  5. Step 5: Solve for x
    x = 71,268,964,399.32/299,661.05
  6. Step 6: Final answer
    x = 237,831.93

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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.