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Finding the Fourth Proportional to 279,880.40, 419,820.60 and 268,216.40

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Solution

The fourth proportional to 279,880.40, 419,820.60 and 268,216.40 is: 402,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,880.40 : 419,820.60 = 268,216.40 : x
  2. Step 2: Convert to fraction form
    279,880.40/419,820.60 = 268,216.40/x
  3. Step 3: Cross multiply
    279,880.40x = 419,820.60 × 268,216.40
  4. Step 4: Simplify right side
    279,880.40x = 112,602,769,977.84
  5. Step 5: Solve for x
    x = 112,602,769,977.84/279,880.40
  6. Step 6: Final answer
    x = 402,324.60

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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.