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Finding the Fourth Proportional to 298,978.26, 448,469 and 77,362.26

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Solution

The fourth proportional to 298,978.26, 448,469 and 77,362.26 is: 116,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,978.26 : 448,469 = 77,362.26 : x
  2. Step 2: Convert to fraction form
    298,978.26/448,469 = 77,362.26/x
  3. Step 3: Cross multiply
    298,978.26x = 448,469 × 77,362.26
  4. Step 4: Simplify right side
    298,978.26x = 34,694,575,379.94
  5. Step 5: Solve for x
    x = 34,694,575,379.94/298,978.26
  6. Step 6: Final answer
    x = 116,043.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.