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Finding the Fourth Proportional to 279,718.80, 419,084.10 and 270,468.60

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Solution

The fourth proportional to 279,718.80, 419,084.10 and 270,468.60 is: 405,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,718.80 : 419,084.10 = 270,468.60 : x
  2. Step 2: Convert to fraction form
    279,718.80/419,084.10 = 270,468.60/x
  3. Step 3: Cross multiply
    279,718.80x = 419,084.10 × 270,468.60
  4. Step 4: Simplify right side
    279,718.80x = 113,349,089,809.26
  5. Step 5: Solve for x
    x = 113,349,089,809.26/279,718.80
  6. Step 6: Final answer
    x = 405,225.14

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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.