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Finding the Fourth Proportional to 315,107.15, 434,847.61 and 171,866.75

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Solution

The fourth proportional to 315,107.15, 434,847.61 and 171,866.75 is: 237,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,107.15 : 434,847.61 = 171,866.75 : x
  2. Step 2: Convert to fraction form
    315,107.15/434,847.61 = 171,866.75/x
  3. Step 3: Cross multiply
    315,107.15x = 434,847.61 × 171,866.75
  4. Step 4: Simplify right side
    315,107.15x = 74,735,846,133.42
  5. Step 5: Solve for x
    x = 74,735,846,133.42/315,107.15
  6. Step 6: Final answer
    x = 237,175.98

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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.