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Finding the Fourth Proportional to 465,896.19, 698,859.89 and 128,908.65

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Solution

The fourth proportional to 465,896.19, 698,859.89 and 128,908.65 is: 193,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,896.19 : 698,859.89 = 128,908.65 : x
  2. Step 2: Convert to fraction form
    465,896.19/698,859.89 = 128,908.65/x
  3. Step 3: Cross multiply
    465,896.19x = 698,859.89 × 128,908.65
  4. Step 4: Simplify right side
    465,896.19x = 90,089,084,959.05
  5. Step 5: Solve for x
    x = 90,089,084,959.05/465,896.19
  6. Step 6: Final answer
    x = 193,367.29

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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.