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Finding the Fourth Proportional to 343,771.49, 474,395.59 and 190,809.29

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Solution

The fourth proportional to 343,771.49, 474,395.59 and 190,809.29 is: 263,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,771.49 : 474,395.59 = 190,809.29 : x
  2. Step 2: Convert to fraction form
    343,771.49/474,395.59 = 190,809.29/x
  3. Step 3: Cross multiply
    343,771.49x = 474,395.59 × 190,809.29
  4. Step 4: Simplify right side
    343,771.49x = 90,519,083,389.75
  5. Step 5: Solve for x
    x = 90,519,083,389.75/343,771.49
  6. Step 6: Final answer
    x = 263,311.78

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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.