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Finding the Fourth Proportional to 298,959.75, 412,564.50 and 164,823.75

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Solution

The fourth proportional to 298,959.75, 412,564.50 and 164,823.75 is: 227,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,959.75 : 412,564.50 = 164,823.75 : x
  2. Step 2: Convert to fraction form
    298,959.75/412,564.50 = 164,823.75/x
  3. Step 3: Cross multiply
    298,959.75x = 412,564.50 × 164,823.75
  4. Step 4: Simplify right side
    298,959.75x = 68,000,428,006.88
  5. Step 5: Solve for x
    x = 68,000,428,006.88/298,959.75
  6. Step 6: Final answer
    x = 227,456.80

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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.