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Finding the Fourth Proportional to 276,643.20, 414,381.60 and 276,643.20

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Solution

The fourth proportional to 276,643.20, 414,381.60 and 276,643.20 is: 414,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,643.20 : 414,381.60 = 276,643.20 : x
  2. Step 2: Convert to fraction form
    276,643.20/414,381.60 = 276,643.20/x
  3. Step 3: Cross multiply
    276,643.20x = 414,381.60 × 276,643.20
  4. Step 4: Simplify right side
    276,643.20x = 114,635,851,845.12
  5. Step 5: Solve for x
    x = 114,635,851,845.12/276,643.20
  6. Step 6: Final answer
    x = 414,381.60

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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.