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Finding the Fourth Proportional to 306,838.44, 423,351.50 and 197,896.68

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Solution

The fourth proportional to 306,838.44, 423,351.50 and 197,896.68 is: 273,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,838.44 : 423,351.50 = 197,896.68 : x
  2. Step 2: Convert to fraction form
    306,838.44/423,351.50 = 197,896.68/x
  3. Step 3: Cross multiply
    306,838.44x = 423,351.50 × 197,896.68
  4. Step 4: Simplify right side
    306,838.44x = 83,779,855,333.54
  5. Step 5: Solve for x
    x = 83,779,855,333.54/306,838.44
  6. Step 6: Final answer
    x = 273,042.24

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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.