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Finding the Fourth Proportional to 463,945.80, 640,553.64 and 356,323.56

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Solution

The fourth proportional to 463,945.80, 640,553.64 and 356,323.56 is: 491,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,945.80 : 640,553.64 = 356,323.56 : x
  2. Step 2: Convert to fraction form
    463,945.80/640,553.64 = 356,323.56/x
  3. Step 3: Cross multiply
    463,945.80x = 640,553.64 × 356,323.56
  4. Step 4: Simplify right side
    463,945.80x = 228,244,353,375.76
  5. Step 5: Solve for x
    x = 228,244,353,375.76/463,945.80
  6. Step 6: Final answer
    x = 491,963.40

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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.