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Finding the Fourth Proportional to 605,201.74, 907,922.89 and 205,735.25

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Solution

The fourth proportional to 605,201.74, 907,922.89 and 205,735.25 is: 308,643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,201.74 : 907,922.89 = 205,735.25 : x
  2. Step 2: Convert to fraction form
    605,201.74/907,922.89 = 205,735.25/x
  3. Step 3: Cross multiply
    605,201.74x = 907,922.89 × 205,735.25
  4. Step 4: Simplify right side
    605,201.74x = 186,791,742,754.87
  5. Step 5: Solve for x
    x = 186,791,742,754.87/605,201.74
  6. Step 6: Final answer
    x = 308,643.76

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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.