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Finding the Fourth Proportional to 393,954.05, 590,881.77 and 109,665.92

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Solution

The fourth proportional to 393,954.05, 590,881.77 and 109,665.92 is: 164,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,954.05 : 590,881.77 = 109,665.92 : x
  2. Step 2: Convert to fraction form
    393,954.05/590,881.77 = 109,665.92/x
  3. Step 3: Cross multiply
    393,954.05x = 590,881.77 × 109,665.92
  4. Step 4: Simplify right side
    393,954.05x = 64,799,594,395.48
  5. Step 5: Solve for x
    x = 64,799,594,395.48/393,954.05
  6. Step 6: Final answer
    x = 164,485.16

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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.