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Finding the Fourth Proportional to 311,991.40, 468,057.11 and 98,772.06

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Solution

The fourth proportional to 311,991.40, 468,057.11 and 98,772.06 is: 148,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,991.40 : 468,057.11 = 98,772.06 : x
  2. Step 2: Convert to fraction form
    311,991.40/468,057.11 = 98,772.06/x
  3. Step 3: Cross multiply
    311,991.40x = 468,057.11 × 98,772.06
  4. Step 4: Simplify right side
    311,991.40x = 46,230,963,858.68
  5. Step 5: Solve for x
    x = 46,230,963,858.68/311,991.40
  6. Step 6: Final answer
    x = 148,180.25

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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.