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Finding the Fourth Proportional to 270,510.98, 405,878.24 and 118,629.48

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Solution

The fourth proportional to 270,510.98, 405,878.24 and 118,629.48 is: 177,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,510.98 : 405,878.24 = 118,629.48 : x
  2. Step 2: Convert to fraction form
    270,510.98/405,878.24 = 118,629.48/x
  3. Step 3: Cross multiply
    270,510.98x = 405,878.24 × 118,629.48
  4. Step 4: Simplify right side
    270,510.98x = 48,149,124,554.52
  5. Step 5: Solve for x
    x = 48,149,124,554.52/270,510.98
  6. Step 6: Final answer
    x = 177,993.24

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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.