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Finding the Fourth Proportional to 321,976.20, 482,961.90 and 97,336.20

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Solution

The fourth proportional to 321,976.20, 482,961.90 and 97,336.20 is: 146,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,976.20 : 482,961.90 = 97,336.20 : x
  2. Step 2: Convert to fraction form
    321,976.20/482,961.90 = 97,336.20/x
  3. Step 3: Cross multiply
    321,976.20x = 482,961.90 × 97,336.20
  4. Step 4: Simplify right side
    321,976.20x = 47,009,676,090.78
  5. Step 5: Solve for x
    x = 47,009,676,090.78/321,976.20
  6. Step 6: Final answer
    x = 146,003.57

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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.