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Finding the Fourth Proportional to 561,305.52, 774,629.72 and 343,446.03

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Solution

The fourth proportional to 561,305.52, 774,629.72 and 343,446.03 is: 473,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,305.52 : 774,629.72 = 343,446.03 : x
  2. Step 2: Convert to fraction form
    561,305.52/774,629.72 = 343,446.03/x
  3. Step 3: Cross multiply
    561,305.52x = 774,629.72 × 343,446.03
  4. Step 4: Simplify right side
    561,305.52x = 266,043,500,336.78
  5. Step 5: Solve for x
    x = 266,043,500,336.78/561,305.52
  6. Step 6: Final answer
    x = 473,972.71

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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.