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Finding the Fourth Proportional to 306,800.50, 423,380.65 and 168,976.78

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Solution

The fourth proportional to 306,800.50, 423,380.65 and 168,976.78 is: 233,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,800.50 : 423,380.65 = 168,976.78 : x
  2. Step 2: Convert to fraction form
    306,800.50/423,380.65 = 168,976.78/x
  3. Step 3: Cross multiply
    306,800.50x = 423,380.65 × 168,976.78
  4. Step 4: Simplify right side
    306,800.50x = 71,541,495,989.52
  5. Step 5: Solve for x
    x = 71,541,495,989.52/306,800.50
  6. Step 6: Final answer
    x = 233,185.73

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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.