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Finding the Fourth Proportional to 314,638.39, 434,198.86 and 171,398.53

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Solution

The fourth proportional to 314,638.39, 434,198.86 and 171,398.53 is: 236,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,638.39 : 434,198.86 = 171,398.53 : x
  2. Step 2: Convert to fraction form
    314,638.39/434,198.86 = 171,398.53/x
  3. Step 3: Cross multiply
    314,638.39x = 434,198.86 × 171,398.53
  4. Step 4: Simplify right side
    314,638.39x = 74,421,046,331.68
  5. Step 5: Solve for x
    x = 74,421,046,331.68/314,638.39
  6. Step 6: Final answer
    x = 236,528.82

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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.