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Finding the Fourth Proportional to 466,563.78, 643,963.03 and 305,325.41

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Solution

The fourth proportional to 466,563.78, 643,963.03 and 305,325.41 is: 421,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,563.78 : 643,963.03 = 305,325.41 : x
  2. Step 2: Convert to fraction form
    466,563.78/643,963.03 = 305,325.41/x
  3. Step 3: Cross multiply
    466,563.78x = 643,963.03 × 305,325.41
  4. Step 4: Simplify right side
    466,563.78x = 196,618,276,159.59
  5. Step 5: Solve for x
    x = 196,618,276,159.59/466,563.78
  6. Step 6: Final answer
    x = 421,417.79

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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.