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Finding the Fourth Proportional to 276,378.66, 414,023.67 and 256,938.66

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Solution

The fourth proportional to 276,378.66, 414,023.67 and 256,938.66 is: 384,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,378.66 : 414,023.67 = 256,938.66 : x
  2. Step 2: Convert to fraction form
    276,378.66/414,023.67 = 256,938.66/x
  3. Step 3: Cross multiply
    276,378.66x = 414,023.67 × 256,938.66
  4. Step 4: Simplify right side
    276,378.66x = 106,378,686,978.08
  5. Step 5: Solve for x
    x = 106,378,686,978.08/276,378.66
  6. Step 6: Final answer
    x = 384,901.96

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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.