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Finding the Fourth Proportional to 463,546.49, 639,679.20 and 256,806.37

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Solution

The fourth proportional to 463,546.49, 639,679.20 and 256,806.37 is: 354,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,546.49 : 639,679.20 = 256,806.37 : x
  2. Step 2: Convert to fraction form
    463,546.49/639,679.20 = 256,806.37/x
  3. Step 3: Cross multiply
    463,546.49x = 639,679.20 × 256,806.37
  4. Step 4: Simplify right side
    463,546.49x = 164,273,690,118.11
  5. Step 5: Solve for x
    x = 164,273,690,118.11/463,546.49
  6. Step 6: Final answer
    x = 354,384.50

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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.