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Finding the Fourth Proportional to 276,643.80, 414,965.70 and 272,496.60

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Solution

The fourth proportional to 276,643.80, 414,965.70 and 272,496.60 is: 408,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,643.80 : 414,965.70 = 272,496.60 : x
  2. Step 2: Convert to fraction form
    276,643.80/414,965.70 = 272,496.60/x
  3. Step 3: Cross multiply
    276,643.80x = 414,965.70 × 272,496.60
  4. Step 4: Simplify right side
    276,643.80x = 113,076,742,366.62
  5. Step 5: Solve for x
    x = 113,076,742,366.62/276,643.80
  6. Step 6: Final answer
    x = 408,744.90

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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.