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Finding the Fourth Proportional to 279,975.60, 419,963.40 and 258,324.30

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Solution

The fourth proportional to 279,975.60, 419,963.40 and 258,324.30 is: 387,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,975.60 : 419,963.40 = 258,324.30 : x
  2. Step 2: Convert to fraction form
    279,975.60/419,963.40 = 258,324.30/x
  3. Step 3: Cross multiply
    279,975.60x = 419,963.40 × 258,324.30
  4. Step 4: Simplify right side
    279,975.60x = 108,486,751,330.62
  5. Step 5: Solve for x
    x = 108,486,751,330.62/279,975.60
  6. Step 6: Final answer
    x = 387,486.45

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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.