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Finding the Fourth Proportional to 274,615.50, 378,975.18 and 155,383.50

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Solution

The fourth proportional to 274,615.50, 378,975.18 and 155,383.50 is: 214,432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,615.50 : 378,975.18 = 155,383.50 : x
  2. Step 2: Convert to fraction form
    274,615.50/378,975.18 = 155,383.50/x
  3. Step 3: Cross multiply
    274,615.50x = 378,975.18 × 155,383.50
  4. Step 4: Simplify right side
    274,615.50x = 58,886,489,881.53
  5. Step 5: Solve for x
    x = 58,886,489,881.53/274,615.50
  6. Step 6: Final answer
    x = 214,432.51

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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.