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Finding the Fourth Proportional to 605,022.12, 907,669.74 and 200,213.28

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Solution

The fourth proportional to 605,022.12, 907,669.74 and 200,213.28 is: 300,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,022.12 : 907,669.74 = 200,213.28 : x
  2. Step 2: Convert to fraction form
    605,022.12/907,669.74 = 200,213.28/x
  3. Step 3: Cross multiply
    605,022.12x = 907,669.74 × 200,213.28
  4. Step 4: Simplify right side
    605,022.12x = 181,727,535,802.15
  5. Step 5: Solve for x
    x = 181,727,535,802.15/605,022.12
  6. Step 6: Final answer
    x = 300,365.11

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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.