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Finding the Fourth Proportional to 393,716.88, 590,669.18 and 127,477.47

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Solution

The fourth proportional to 393,716.88, 590,669.18 and 127,477.47 is: 191,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,716.88 : 590,669.18 = 127,477.47 : x
  2. Step 2: Convert to fraction form
    393,716.88/590,669.18 = 127,477.47/x
  3. Step 3: Cross multiply
    393,716.88x = 590,669.18 × 127,477.47
  4. Step 4: Simplify right side
    393,716.88x = 75,297,012,035.99
  5. Step 5: Solve for x
    x = 75,297,012,035.99/393,716.88
  6. Step 6: Final answer
    x = 191,246.59

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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.