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Finding the Fourth Proportional to 466,481.70, 643,943.37 and 313,608.56

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Solution

The fourth proportional to 466,481.70, 643,943.37 and 313,608.56 is: 432,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,481.70 : 643,943.37 = 313,608.56 : x
  2. Step 2: Convert to fraction form
    466,481.70/643,943.37 = 313,608.56/x
  3. Step 3: Cross multiply
    466,481.70x = 643,943.37 × 313,608.56
  4. Step 4: Simplify right side
    466,481.70x = 201,946,149,767.53
  5. Step 5: Solve for x
    x = 201,946,149,767.53/466,481.70
  6. Step 6: Final answer
    x = 432,913.34

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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.