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Finding the Fourth Proportional to 345,809.49, 477,216.16 and 192,847.85

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Solution

The fourth proportional to 345,809.49, 477,216.16 and 192,847.85 is: 266,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,809.49 : 477,216.16 = 192,847.85 : x
  2. Step 2: Convert to fraction form
    345,809.49/477,216.16 = 192,847.85/x
  3. Step 3: Cross multiply
    345,809.49x = 477,216.16 × 192,847.85
  4. Step 4: Simplify right side
    345,809.49x = 92,030,109,362.62
  5. Step 5: Solve for x
    x = 92,030,109,362.62/345,809.49
  6. Step 6: Final answer
    x = 266,129.51

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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.