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Finding the Fourth Proportional to 605,200.99, 907,921.77 and 205,734.50

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Solution

The fourth proportional to 605,200.99, 907,921.77 and 205,734.50 is: 308,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,200.99 : 907,921.77 = 205,734.50 : x
  2. Step 2: Convert to fraction form
    605,200.99/907,921.77 = 205,734.50/x
  3. Step 3: Cross multiply
    605,200.99x = 907,921.77 × 205,734.50
  4. Step 4: Simplify right side
    605,200.99x = 186,790,830,361.39
  5. Step 5: Solve for x
    x = 186,790,830,361.39/605,200.99
  6. Step 6: Final answer
    x = 308,642.64

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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.