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Finding the Fourth Proportional to 319,874.40, 480,200.40 and 162,021.60

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Solution

The fourth proportional to 319,874.40, 480,200.40 and 162,021.60 is: 243,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,874.40 : 480,200.40 = 162,021.60 : x
  2. Step 2: Convert to fraction form
    319,874.40/480,200.40 = 162,021.60/x
  3. Step 3: Cross multiply
    319,874.40x = 480,200.40 × 162,021.60
  4. Step 4: Simplify right side
    319,874.40x = 77,802,837,128.64
  5. Step 5: Solve for x
    x = 77,802,837,128.64/319,874.40
  6. Step 6: Final answer
    x = 243,229.33

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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.