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Finding the Fourth Proportional to 275,038.24, 412,940.60 and 142,014.48

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Solution

The fourth proportional to 275,038.24, 412,940.60 and 142,014.48 is: 213,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,038.24 : 412,940.60 = 142,014.48 : x
  2. Step 2: Convert to fraction form
    275,038.24/412,940.60 = 142,014.48/x
  3. Step 3: Cross multiply
    275,038.24x = 412,940.60 × 142,014.48
  4. Step 4: Simplify right side
    275,038.24x = 58,643,544,579.89
  5. Step 5: Solve for x
    x = 58,643,544,579.89/275,038.24
  6. Step 6: Final answer
    x = 213,219.60

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1.5x scale

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.