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Finding the Fourth Proportional to 295,698.69, 407,921.94 and 193,680

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Solution

The fourth proportional to 295,698.69, 407,921.94 and 193,680 is: 267,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,698.69 : 407,921.94 = 193,680 : x
  2. Step 2: Convert to fraction form
    295,698.69/407,921.94 = 193,680/x
  3. Step 3: Cross multiply
    295,698.69x = 407,921.94 × 193,680
  4. Step 4: Simplify right side
    295,698.69x = 79,006,321,339.20
  5. Step 5: Solve for x
    x = 79,006,321,339.20/295,698.69
  6. Step 6: Final answer
    x = 267,185.23

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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.