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Finding the Fourth Proportional to 284,418.45, 426,549.92 and 106,911.81

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Solution

The fourth proportional to 284,418.45, 426,549.92 and 106,911.81 is: 160,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,418.45 : 426,549.92 = 106,911.81 : x
  2. Step 2: Convert to fraction form
    284,418.45/426,549.92 = 106,911.81/x
  3. Step 3: Cross multiply
    284,418.45x = 426,549.92 × 106,911.81
  4. Step 4: Simplify right side
    284,418.45x = 45,603,223,468.00
  5. Step 5: Solve for x
    x = 45,603,223,468.00/284,418.45
  6. Step 6: Final answer
    x = 160,338.49

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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.