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Finding the Fourth Proportional to 311,852.80, 468,009.60 and 206,636.80

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Solution

The fourth proportional to 311,852.80, 468,009.60 and 206,636.80 is: 310,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,852.80 : 468,009.60 = 206,636.80 : x
  2. Step 2: Convert to fraction form
    311,852.80/468,009.60 = 206,636.80/x
  3. Step 3: Cross multiply
    311,852.80x = 468,009.60 × 206,636.80
  4. Step 4: Simplify right side
    311,852.80x = 96,708,006,113.28
  5. Step 5: Solve for x
    x = 96,708,006,113.28/311,852.80
  6. Step 6: Final answer
    x = 310,107.87

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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.