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Finding the Fourth Proportional to 299,205.09, 412,941.42 and 171,905.31

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Solution

The fourth proportional to 299,205.09, 412,941.42 and 171,905.31 is: 237,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,205.09 : 412,941.42 = 171,905.31 : x
  2. Step 2: Convert to fraction form
    299,205.09/412,941.42 = 171,905.31/x
  3. Step 3: Cross multiply
    299,205.09x = 412,941.42 × 171,905.31
  4. Step 4: Simplify right side
    299,205.09x = 70,986,822,816.94
  5. Step 5: Solve for x
    x = 70,986,822,816.94/299,205.09
  6. Step 6: Final answer
    x = 237,251.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.