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Finding the Fourth Proportional to 276,344.64, 414,516 and 76,664.64

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Solution

The fourth proportional to 276,344.64, 414,516 and 76,664.64 is: 114,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,344.64 : 414,516 = 76,664.64 : x
  2. Step 2: Convert to fraction form
    276,344.64/414,516 = 76,664.64/x
  3. Step 3: Cross multiply
    276,344.64x = 414,516 × 76,664.64
  4. Step 4: Simplify right side
    276,344.64x = 31,778,719,914.24
  5. Step 5: Solve for x
    x = 31,778,719,914.24/276,344.64
  6. Step 6: Final answer
    x = 114,996.69

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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.