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Finding the Fourth Proportional to 458,546.81, 687,819.53 and 300,738.29

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Solution

The fourth proportional to 458,546.81, 687,819.53 and 300,738.29 is: 451,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,546.81 : 687,819.53 = 300,738.29 : x
  2. Step 2: Convert to fraction form
    458,546.81/687,819.53 = 300,738.29/x
  3. Step 3: Cross multiply
    458,546.81x = 687,819.53 × 300,738.29
  4. Step 4: Simplify right side
    458,546.81x = 206,853,666,593.55
  5. Step 5: Solve for x
    x = 206,853,666,593.55/458,546.81
  6. Step 6: Final answer
    x = 451,106.98

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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.