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Finding the Fourth Proportional to 393,647.91, 543,495.57 and 302,843.67

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Solution

The fourth proportional to 393,647.91, 543,495.57 and 302,843.67 is: 418,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,647.91 : 543,495.57 = 302,843.67 : x
  2. Step 2: Convert to fraction form
    393,647.91/543,495.57 = 302,843.67/x
  3. Step 3: Cross multiply
    393,647.91x = 543,495.57 × 302,843.67
  4. Step 4: Simplify right side
    393,647.91x = 164,594,193,047.54
  5. Step 5: Solve for x
    x = 164,594,193,047.54/393,647.91
  6. Step 6: Final answer
    x = 418,125.41

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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.