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Finding the Fourth Proportional to 276,374.16, 414,016.92 and 256,934.16

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Solution

The fourth proportional to 276,374.16, 414,016.92 and 256,934.16 is: 384,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,374.16 : 414,016.92 = 256,934.16 : x
  2. Step 2: Convert to fraction form
    276,374.16/414,016.92 = 256,934.16/x
  3. Step 3: Cross multiply
    276,374.16x = 414,016.92 × 256,934.16
  4. Step 4: Simplify right side
    276,374.16x = 106,375,089,565.99
  5. Step 5: Solve for x
    x = 106,375,089,565.99/276,374.16
  6. Step 6: Final answer
    x = 384,895.21

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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.