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Finding the Fourth Proportional to 279,975.64, 419,231.40 and 153,352.48

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Solution

The fourth proportional to 279,975.64, 419,231.40 and 153,352.48 is: 229,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,975.64 : 419,231.40 = 153,352.48 : x
  2. Step 2: Convert to fraction form
    279,975.64/419,231.40 = 153,352.48/x
  3. Step 3: Cross multiply
    279,975.64x = 419,231.40 × 153,352.48
  4. Step 4: Simplify right side
    279,975.64x = 64,290,174,883.87
  5. Step 5: Solve for x
    x = 64,290,174,883.87/279,975.64
  6. Step 6: Final answer
    x = 229,627.75

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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.