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Finding the Fourth Proportional to 227,638.10, 341,457.15 and 205,087.70

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Solution

The fourth proportional to 227,638.10, 341,457.15 and 205,087.70 is: 307,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,638.10 : 341,457.15 = 205,087.70 : x
  2. Step 2: Convert to fraction form
    227,638.10/341,457.15 = 205,087.70/x
  3. Step 3: Cross multiply
    227,638.10x = 341,457.15 × 205,087.70
  4. Step 4: Simplify right side
    227,638.10x = 70,028,661,542.06
  5. Step 5: Solve for x
    x = 70,028,661,542.06/227,638.10
  6. Step 6: Final answer
    x = 307,631.55

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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.