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Finding the Fourth Proportional to 315,072.57, 434,794.90 and 171,824.07

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Solution

The fourth proportional to 315,072.57, 434,794.90 and 171,824.07 is: 237,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,072.57 : 434,794.90 = 171,824.07 : x
  2. Step 2: Convert to fraction form
    315,072.57/434,794.90 = 171,824.07/x
  3. Step 3: Cross multiply
    315,072.57x = 434,794.90 × 171,824.07
  4. Step 4: Simplify right side
    315,072.57x = 74,708,229,333.24
  5. Step 5: Solve for x
    x = 74,708,229,333.24/315,072.57
  6. Step 6: Final answer
    x = 237,114.36

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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.