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Finding the Fourth Proportional to 280,284.48, 419,365.60 and 171,828.11

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Solution

The fourth proportional to 280,284.48, 419,365.60 and 171,828.11 is: 257,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,284.48 : 419,365.60 = 171,828.11 : x
  2. Step 2: Convert to fraction form
    280,284.48/419,365.60 = 171,828.11/x
  3. Step 3: Cross multiply
    280,284.48x = 419,365.60 × 171,828.11
  4. Step 4: Simplify right side
    280,284.48x = 72,058,795,491.05
  5. Step 5: Solve for x
    x = 72,058,795,491.05/280,284.48
  6. Step 6: Final answer
    x = 257,091.64

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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.