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Finding the Fourth Proportional to 315,193.63, 434,968.23 and 171,956.68

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Solution

The fourth proportional to 315,193.63, 434,968.23 and 171,956.68 is: 237,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,193.63 : 434,968.23 = 171,956.68 : x
  2. Step 2: Convert to fraction form
    315,193.63/434,968.23 = 171,956.68/x
  3. Step 3: Cross multiply
    315,193.63x = 434,968.23 × 171,956.68
  4. Step 4: Simplify right side
    315,193.63x = 74,795,692,736.28
  5. Step 5: Solve for x
    x = 74,795,692,736.28/315,193.63
  6. Step 6: Final answer
    x = 237,300.78

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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.