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Finding the Fourth Proportional to 276,043.24, 413,654.48 and 142,745.60

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Solution

The fourth proportional to 276,043.24, 413,654.48 and 142,745.60 is: 213,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,043.24 : 413,654.48 = 142,745.60 : x
  2. Step 2: Convert to fraction form
    276,043.24/413,654.48 = 142,745.60/x
  3. Step 3: Cross multiply
    276,043.24x = 413,654.48 × 142,745.60
  4. Step 4: Simplify right side
    276,043.24x = 59,047,356,940.29
  5. Step 5: Solve for x
    x = 59,047,356,940.29/276,043.24
  6. Step 6: Final answer
    x = 213,906.19

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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.