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Finding the Fourth Proportional to 276,097, 414,154.76 and 76,400.68

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Solution

The fourth proportional to 276,097, 414,154.76 and 76,400.68 is: 114,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,097 : 414,154.76 = 76,400.68 : x
  2. Step 2: Convert to fraction form
    276,097/414,154.76 = 76,400.68/x
  3. Step 3: Cross multiply
    276,097x = 414,154.76 × 76,400.68
  4. Step 4: Simplify right side
    276,097x = 31,641,705,289.24
  5. Step 5: Solve for x
    x = 31,641,705,289.24/276,097
  6. Step 6: Final answer
    x = 114,603.58

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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.