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Finding the Fourth Proportional to 276,637.20, 415,344.60 and 171,661.20

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Solution

The fourth proportional to 276,637.20, 415,344.60 and 171,661.20 is: 257,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,637.20 : 415,344.60 = 171,661.20 : x
  2. Step 2: Convert to fraction form
    276,637.20/415,344.60 = 171,661.20/x
  3. Step 3: Cross multiply
    276,637.20x = 415,344.60 × 171,661.20
  4. Step 4: Simplify right side
    276,637.20x = 71,298,552,449.52
  5. Step 5: Solve for x
    x = 71,298,552,449.52/276,637.20
  6. Step 6: Final answer
    x = 257,733.06

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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.