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Finding the Fourth Proportional to 393,717.41, 590,670.18 and 127,478.21

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Solution

The fourth proportional to 393,717.41, 590,670.18 and 127,478.21 is: 191,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,717.41 : 590,670.18 = 127,478.21 : x
  2. Step 2: Convert to fraction form
    393,717.41/590,670.18 = 127,478.21/x
  3. Step 3: Cross multiply
    393,717.41x = 590,670.18 × 127,478.21
  4. Step 4: Simplify right side
    393,717.41x = 75,297,577,246.78
  5. Step 5: Solve for x
    x = 75,297,577,246.78/393,717.41
  6. Step 6: Final answer
    x = 191,247.77

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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.