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Finding the Fourth Proportional to 314,640.39, 434,201.62 and 171,400.53

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Solution

The fourth proportional to 314,640.39, 434,201.62 and 171,400.53 is: 236,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,640.39 : 434,201.62 = 171,400.53 : x
  2. Step 2: Convert to fraction form
    314,640.39/434,201.62 = 171,400.53/x
  3. Step 3: Cross multiply
    314,640.39x = 434,201.62 × 171,400.53
  4. Step 4: Simplify right side
    314,640.39x = 74,422,387,794.86
  5. Step 5: Solve for x
    x = 74,422,387,794.86/314,640.39
  6. Step 6: Final answer
    x = 236,531.58

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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.