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Finding the Fourth Proportional to 314,910.25, 434,585.66 and 171,672.68

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Solution

The fourth proportional to 314,910.25, 434,585.66 and 171,672.68 is: 236,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,910.25 : 434,585.66 = 171,672.68 : x
  2. Step 2: Convert to fraction form
    314,910.25/434,585.66 = 171,672.68/x
  3. Step 3: Cross multiply
    314,910.25x = 434,585.66 × 171,672.68
  4. Step 4: Simplify right side
    314,910.25x = 74,606,485,169.87
  5. Step 5: Solve for x
    x = 74,606,485,169.87/314,910.25
  6. Step 6: Final answer
    x = 236,913.49

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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.