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Finding the Fourth Proportional to 393,636.57, 590,450.98 and 180,344

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Solution

The fourth proportional to 393,636.57, 590,450.98 and 180,344 is: 270,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,636.57 : 590,450.98 = 180,344 : x
  2. Step 2: Convert to fraction form
    393,636.57/590,450.98 = 180,344/x
  3. Step 3: Cross multiply
    393,636.57x = 590,450.98 × 180,344
  4. Step 4: Simplify right side
    393,636.57x = 106,484,291,537.12
  5. Step 5: Solve for x
    x = 106,484,291,537.12/393,636.57
  6. Step 6: Final answer
    x = 270,514.22

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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.