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Finding the Fourth Proportional to 315,173.25, 434,921.43 and 179,188.02

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Solution

The fourth proportional to 315,173.25, 434,921.43 and 179,188.02 is: 247,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,173.25 : 434,921.43 = 179,188.02 : x
  2. Step 2: Convert to fraction form
    315,173.25/434,921.43 = 179,188.02/x
  3. Step 3: Cross multiply
    315,173.25x = 434,921.43 × 179,188.02
  4. Step 4: Simplify right side
    315,173.25x = 77,932,709,897.27
  5. Step 5: Solve for x
    x = 77,932,709,897.27/315,173.25
  6. Step 6: Final answer
    x = 247,269.43

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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.