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Finding the Fourth Proportional to 645,589, 968,539.02 and 202,357

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Solution

The fourth proportional to 645,589, 968,539.02 and 202,357 is: 303,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,589 : 968,539.02 = 202,357 : x
  2. Step 2: Convert to fraction form
    645,589/968,539.02 = 202,357/x
  3. Step 3: Cross multiply
    645,589x = 968,539.02 × 202,357
  4. Step 4: Simplify right side
    645,589x = 195,990,650,470.14
  5. Step 5: Solve for x
    x = 195,990,650,470.14/645,589
  6. Step 6: Final answer
    x = 303,584.25

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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.