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Finding the Fourth Proportional to 311,364, 429,682.80 and 177,228

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Solution

The fourth proportional to 311,364, 429,682.80 and 177,228 is: 244,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,364 : 429,682.80 = 177,228 : x
  2. Step 2: Convert to fraction form
    311,364/429,682.80 = 177,228/x
  3. Step 3: Cross multiply
    311,364x = 429,682.80 × 177,228
  4. Step 4: Simplify right side
    311,364x = 76,151,823,278.40
  5. Step 5: Solve for x
    x = 76,151,823,278.40/311,364
  6. Step 6: Final answer
    x = 244,574.91

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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.