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Finding the Fourth Proportional to 298,890, 412,470.23 and 178,036.38

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Solution

The fourth proportional to 298,890, 412,470.23 and 178,036.38 is: 245,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,890 : 412,470.23 = 178,036.38 : x
  2. Step 2: Convert to fraction form
    298,890/412,470.23 = 178,036.38/x
  3. Step 3: Cross multiply
    298,890x = 412,470.23 × 178,036.38
  4. Step 4: Simplify right side
    298,890x = 73,434,705,716.79
  5. Step 5: Solve for x
    x = 73,434,705,716.79/298,890
  6. Step 6: Final answer
    x = 245,691.41

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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.