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Finding the Fourth Proportional to 457,208.20, 685,702 and 190,824.31

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Solution

The fourth proportional to 457,208.20, 685,702 and 190,824.31 is: 286,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,208.20 : 685,702 = 190,824.31 : x
  2. Step 2: Convert to fraction form
    457,208.20/685,702 = 190,824.31/x
  3. Step 3: Cross multiply
    457,208.20x = 685,702 × 190,824.31
  4. Step 4: Simplify right side
    457,208.20x = 130,848,611,015.62
  5. Step 5: Solve for x
    x = 130,848,611,015.62/457,208.20
  6. Step 6: Final answer
    x = 286,190.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.