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Finding the Fourth Proportional to 276,653.81, 414,978.39 and 76,973.63

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Solution

The fourth proportional to 276,653.81, 414,978.39 and 76,973.63 is: 115,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,653.81 : 414,978.39 = 76,973.63 : x
  2. Step 2: Convert to fraction form
    276,653.81/414,978.39 = 76,973.63/x
  3. Step 3: Cross multiply
    276,653.81x = 414,978.39 × 76,973.63
  4. Step 4: Simplify right side
    276,653.81x = 31,942,390,974.96
  5. Step 5: Solve for x
    x = 31,942,390,974.96/276,653.81
  6. Step 6: Final answer
    x = 115,459.79

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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.