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Finding the Fourth Proportional to 276,626, 414,939.36 and 76,946.40

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Solution

The fourth proportional to 276,626, 414,939.36 and 76,946.40 is: 115,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,626 : 414,939.36 = 76,946.40 : x
  2. Step 2: Convert to fraction form
    276,626/414,939.36 = 76,946.40/x
  3. Step 3: Cross multiply
    276,626x = 414,939.36 × 76,946.40
  4. Step 4: Simplify right side
    276,626x = 31,928,089,970.30
  5. Step 5: Solve for x
    x = 31,928,089,970.30/276,626
  6. Step 6: Final answer
    x = 115,419.70

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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.