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Finding the Fourth Proportional to 321,978.90, 482,579.55 and 164,126.10

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Solution

The fourth proportional to 321,978.90, 482,579.55 and 164,126.10 is: 245,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,978.90 : 482,579.55 = 164,126.10 : x
  2. Step 2: Convert to fraction form
    321,978.90/482,579.55 = 164,126.10/x
  3. Step 3: Cross multiply
    321,978.90x = 482,579.55 × 164,126.10
  4. Step 4: Simplify right side
    321,978.90x = 79,203,899,481.26
  5. Step 5: Solve for x
    x = 79,203,899,481.26/321,978.90
  6. Step 6: Final answer
    x = 245,990.96

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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.