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Finding the Fourth Proportional to 321,978.40, 482,578.80 and 164,125.60

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Solution

The fourth proportional to 321,978.40, 482,578.80 and 164,125.60 is: 245,990.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,978.40 : 482,578.80 = 164,125.60 : x
  2. Step 2: Convert to fraction form
    321,978.40/482,578.80 = 164,125.60/x
  3. Step 3: Cross multiply
    321,978.40x = 482,578.80 × 164,125.60
  4. Step 4: Simplify right side
    321,978.40x = 79,203,535,097.28
  5. Step 5: Solve for x
    x = 79,203,535,097.28/321,978.40
  6. Step 6: Final answer
    x = 245,990.21

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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.