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Finding the Fourth Proportional to 276,138, 413,542.69 and 157,449.51

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Solution

The fourth proportional to 276,138, 413,542.69 and 157,449.51 is: 235,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,138 : 413,542.69 = 157,449.51 : x
  2. Step 2: Convert to fraction form
    276,138/413,542.69 = 157,449.51/x
  3. Step 3: Cross multiply
    276,138x = 413,542.69 × 157,449.51
  4. Step 4: Simplify right side
    276,138x = 65,112,093,904.58
  5. Step 5: Solve for x
    x = 65,112,093,904.58/276,138
  6. Step 6: Final answer
    x = 235,795.49

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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.