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Finding the Fourth Proportional to 393,638.58, 590,453.97 and 180,346.01

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Solution

The fourth proportional to 393,638.58, 590,453.97 and 180,346.01 is: 270,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,638.58 : 590,453.97 = 180,346.01 : x
  2. Step 2: Convert to fraction form
    393,638.58/590,453.97 = 180,346.01/x
  3. Step 3: Cross multiply
    393,638.58x = 590,453.97 × 180,346.01
  4. Step 4: Simplify right side
    393,638.58x = 106,486,014,625.89
  5. Step 5: Solve for x
    x = 106,486,014,625.89/393,638.58
  6. Step 6: Final answer
    x = 270,517.22

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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.