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Finding the Fourth Proportional to 324,812.28, 487,213.05 and 97,108.43

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Solution

The fourth proportional to 324,812.28, 487,213.05 and 97,108.43 is: 145,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,812.28 : 487,213.05 = 97,108.43 : x
  2. Step 2: Convert to fraction form
    324,812.28/487,213.05 = 97,108.43/x
  3. Step 3: Cross multiply
    324,812.28x = 487,213.05 × 97,108.43
  4. Step 4: Simplify right side
    324,812.28x = 47,312,491,742.87
  5. Step 5: Solve for x
    x = 47,312,491,742.87/324,812.28
  6. Step 6: Final answer
    x = 145,661.03

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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.