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Finding the Fourth Proportional to 393,634.70, 590,448.16 and 180,342.10

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Solution

The fourth proportional to 393,634.70, 590,448.16 and 180,342.10 is: 270,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,634.70 : 590,448.16 = 180,342.10 : x
  2. Step 2: Convert to fraction form
    393,634.70/590,448.16 = 180,342.10/x
  3. Step 3: Cross multiply
    393,634.70x = 590,448.16 × 180,342.10
  4. Step 4: Simplify right side
    393,634.70x = 106,482,661,115.54
  5. Step 5: Solve for x
    x = 106,482,661,115.54/393,634.70
  6. Step 6: Final answer
    x = 270,511.37

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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.