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Finding the Fourth Proportional to 314,704.51, 434,286.74 and 171,465.59

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Solution

The fourth proportional to 314,704.51, 434,286.74 and 171,465.59 is: 236,619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,704.51 : 434,286.74 = 171,465.59 : x
  2. Step 2: Convert to fraction form
    314,704.51/434,286.74 = 171,465.59/x
  3. Step 3: Cross multiply
    314,704.51x = 434,286.74 × 171,465.59
  4. Step 4: Simplify right side
    314,704.51x = 74,465,231,245.95
  5. Step 5: Solve for x
    x = 74,465,231,245.95/314,704.51
  6. Step 6: Final answer
    x = 236,619.53

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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.