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Finding the Fourth Proportional to 274,256.64, 411,436.80 and 87,321.60

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Solution

The fourth proportional to 274,256.64, 411,436.80 and 87,321.60 is: 130,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,256.64 : 411,436.80 = 87,321.60 : x
  2. Step 2: Convert to fraction form
    274,256.64/411,436.80 = 87,321.60/x
  3. Step 3: Cross multiply
    274,256.64x = 411,436.80 × 87,321.60
  4. Step 4: Simplify right side
    274,256.64x = 35,927,319,674.88
  5. Step 5: Solve for x
    x = 35,927,319,674.88/274,256.64
  6. Step 6: Final answer
    x = 130,998.91

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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.