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Finding the Fourth Proportional to 275,106.40, 412,778.36 and 148,835.56

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Solution

The fourth proportional to 275,106.40, 412,778.36 and 148,835.56 is: 223,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,106.40 : 412,778.36 = 148,835.56 : x
  2. Step 2: Convert to fraction form
    275,106.40/412,778.36 = 148,835.56/x
  3. Step 3: Cross multiply
    275,106.40x = 412,778.36 × 148,835.56
  4. Step 4: Simplify right side
    275,106.40x = 61,436,098,366.48
  5. Step 5: Solve for x
    x = 61,436,098,366.48/275,106.40
  6. Step 6: Final answer
    x = 223,317.59

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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.