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Finding the Fourth Proportional to 306,906.80, 423,552.67 and 186,053.18

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Solution

The fourth proportional to 306,906.80, 423,552.67 and 186,053.18 is: 256,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,906.80 : 423,552.67 = 186,053.18 : x
  2. Step 2: Convert to fraction form
    306,906.80/423,552.67 = 186,053.18/x
  3. Step 3: Cross multiply
    306,906.80x = 423,552.67 × 186,053.18
  4. Step 4: Simplify right side
    306,906.80x = 78,803,318,864.97
  5. Step 5: Solve for x
    x = 78,803,318,864.97/306,906.80
  6. Step 6: Final answer
    x = 256,766.29

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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.