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Finding the Fourth Proportional to 274,194.78, 411,287.85 and 87,203.58

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Solution

The fourth proportional to 274,194.78, 411,287.85 and 87,203.58 is: 130,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,194.78 : 411,287.85 = 87,203.58 : x
  2. Step 2: Convert to fraction form
    274,194.78/411,287.85 = 87,203.58/x
  3. Step 3: Cross multiply
    274,194.78x = 411,287.85 × 87,203.58
  4. Step 4: Simplify right side
    274,194.78x = 35,865,772,930.50
  5. Step 5: Solve for x
    x = 35,865,772,930.50/274,194.78
  6. Step 6: Final answer
    x = 130,804.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.