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Finding the Fourth Proportional to 393,647.56, 543,495.12 and 302,843.32

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Solution

The fourth proportional to 393,647.56, 543,495.12 and 302,843.32 is: 418,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,647.56 : 543,495.12 = 302,843.32 : x
  2. Step 2: Convert to fraction form
    393,647.56/543,495.12 = 302,843.32/x
  3. Step 3: Cross multiply
    393,647.56x = 543,495.12 × 302,843.32
  4. Step 4: Simplify right side
    393,647.56x = 164,593,866,544.60
  5. Step 5: Solve for x
    x = 164,593,866,544.60/393,647.56
  6. Step 6: Final answer
    x = 418,124.95

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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.