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Finding the Fourth Proportional to 299,205.58, 412,940.21 and 171,880.86

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Solution

The fourth proportional to 299,205.58, 412,940.21 and 171,880.86 is: 237,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,205.58 : 412,940.21 = 171,880.86 : x
  2. Step 2: Convert to fraction form
    299,205.58/412,940.21 = 171,880.86/x
  3. Step 3: Cross multiply
    299,205.58x = 412,940.21 × 171,880.86
  4. Step 4: Simplify right side
    299,205.58x = 70,976,518,423.38
  5. Step 5: Solve for x
    x = 70,976,518,423.38/299,205.58
  6. Step 6: Final answer
    x = 237,216.56

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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.