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Finding the Fourth Proportional to 321,877.80, 482,403.60 and 179,722.80

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Solution

The fourth proportional to 321,877.80, 482,403.60 and 179,722.80 is: 269,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,877.80 : 482,403.60 = 179,722.80 : x
  2. Step 2: Convert to fraction form
    321,877.80/482,403.60 = 179,722.80/x
  3. Step 3: Cross multiply
    321,877.80x = 482,403.60 × 179,722.80
  4. Step 4: Simplify right side
    321,877.80x = 86,698,925,722.08
  5. Step 5: Solve for x
    x = 86,698,925,722.08/321,877.80
  6. Step 6: Final answer
    x = 269,353.54

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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.