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Finding the Fourth Proportional to 306,906.91, 423,552.82 and 186,053.29

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Solution

The fourth proportional to 306,906.91, 423,552.82 and 186,053.29 is: 256,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,906.91 : 423,552.82 = 186,053.29 : x
  2. Step 2: Convert to fraction form
    306,906.91/423,552.82 = 186,053.29/x
  3. Step 3: Cross multiply
    306,906.91x = 423,552.82 × 186,053.29
  4. Step 4: Simplify right side
    306,906.91x = 78,803,395,649.78
  5. Step 5: Solve for x
    x = 78,803,395,649.78/306,906.91
  6. Step 6: Final answer
    x = 256,766.44

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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.