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Finding the Fourth Proportional to 314,568.96, 434,102.94 and 171,328.56

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Solution

The fourth proportional to 314,568.96, 434,102.94 and 171,328.56 is: 236,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,568.96 : 434,102.94 = 171,328.56 : x
  2. Step 2: Convert to fraction form
    314,568.96/434,102.94 = 171,328.56/x
  3. Step 3: Cross multiply
    314,568.96x = 434,102.94 × 171,328.56
  4. Step 4: Simplify right side
    314,568.96x = 74,374,231,601.97
  5. Step 5: Solve for x
    x = 74,374,231,601.97/314,568.96
  6. Step 6: Final answer
    x = 236,432.20

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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.