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Finding the Fourth Proportional to 259,480.87, 389,237.70 and 109,693.24

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Solution

The fourth proportional to 259,480.87, 389,237.70 and 109,693.24 is: 164,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,480.87 : 389,237.70 = 109,693.24 : x
  2. Step 2: Convert to fraction form
    259,480.87/389,237.70 = 109,693.24/x
  3. Step 3: Cross multiply
    259,480.87x = 389,237.70 × 109,693.24
  4. Step 4: Simplify right side
    259,480.87x = 42,696,743,881.40
  5. Step 5: Solve for x
    x = 42,696,743,881.40/259,480.87
  6. Step 6: Final answer
    x = 164,546.79

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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.