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Finding the Fourth Proportional to 276,669.40, 415,004.10 and 171,693.40

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Solution

The fourth proportional to 276,669.40, 415,004.10 and 171,693.40 is: 257,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,669.40 : 415,004.10 = 171,693.40 : x
  2. Step 2: Convert to fraction form
    276,669.40/415,004.10 = 171,693.40/x
  3. Step 3: Cross multiply
    276,669.40x = 415,004.10 × 171,693.40
  4. Step 4: Simplify right side
    276,669.40x = 71,253,464,942.94
  5. Step 5: Solve for x
    x = 71,253,464,942.94/276,669.40
  6. Step 6: Final answer
    x = 257,540.10

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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.