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Finding the Fourth Proportional to 276,628, 414,942.36 and 76,948.40

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Solution

The fourth proportional to 276,628, 414,942.36 and 76,948.40 is: 115,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,628 : 414,942.36 = 76,948.40 : x
  2. Step 2: Convert to fraction form
    276,628/414,942.36 = 76,948.40/x
  3. Step 3: Cross multiply
    276,628x = 414,942.36 × 76,948.40
  4. Step 4: Simplify right side
    276,628x = 31,929,150,694.22
  5. Step 5: Solve for x
    x = 31,929,150,694.22/276,628
  6. Step 6: Final answer
    x = 115,422.70

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1.5x scale

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.