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Finding the Fourth Proportional to 310,736, 428,816.16 and 176,600

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Solution

The fourth proportional to 310,736, 428,816.16 and 176,600 is: 243,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,736 : 428,816.16 = 176,600 : x
  2. Step 2: Convert to fraction form
    310,736/428,816.16 = 176,600/x
  3. Step 3: Cross multiply
    310,736x = 428,816.16 × 176,600
  4. Step 4: Simplify right side
    310,736x = 75,728,933,856
  5. Step 5: Solve for x
    x = 75,728,933,856/310,736
  6. Step 6: Final answer
    x = 243,708.27

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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.