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Finding the Fourth Proportional to 227,738, 341,815.30 and 115,495.68

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Solution

The fourth proportional to 227,738, 341,815.30 and 115,495.68 is: 173,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,738 : 341,815.30 = 115,495.68 : x
  2. Step 2: Convert to fraction form
    227,738/341,815.30 = 115,495.68/x
  3. Step 3: Cross multiply
    227,738x = 341,815.30 × 115,495.68
  4. Step 4: Simplify right side
    227,738x = 39,478,190,507.90
  5. Step 5: Solve for x
    x = 39,478,190,507.90/227,738
  6. Step 6: Final answer
    x = 173,349.16

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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.