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Finding the Fourth Proportional to 299,205.08, 412,939.52 and 171,880.36

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Solution

The fourth proportional to 299,205.08, 412,939.52 and 171,880.36 is: 237,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,205.08 : 412,939.52 = 171,880.36 : x
  2. Step 2: Convert to fraction form
    299,205.08/412,939.52 = 171,880.36/x
  3. Step 3: Cross multiply
    299,205.08x = 412,939.52 × 171,880.36
  4. Step 4: Simplify right side
    299,205.08x = 70,976,193,355.83
  5. Step 5: Solve for x
    x = 70,976,193,355.83/299,205.08
  6. Step 6: Final answer
    x = 237,215.87

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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.