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Finding the Fourth Proportional to 299,166.06, 448,365.14 and 130,640.70

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Solution

The fourth proportional to 299,166.06, 448,365.14 and 130,640.70 is: 195,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,166.06 : 448,365.14 = 130,640.70 : x
  2. Step 2: Convert to fraction form
    299,166.06/448,365.14 = 130,640.70/x
  3. Step 3: Cross multiply
    299,166.06x = 448,365.14 × 130,640.70
  4. Step 4: Simplify right side
    299,166.06x = 58,574,735,745.20
  5. Step 5: Solve for x
    x = 58,574,735,745.20/299,166.06
  6. Step 6: Final answer
    x = 195,793.39

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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.