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Finding the Fourth Proportional to 326,738.92, 489,253.02 and 214,064.68

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Solution

The fourth proportional to 326,738.92, 489,253.02 and 214,064.68 is: 320,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,738.92 : 489,253.02 = 214,064.68 : x
  2. Step 2: Convert to fraction form
    326,738.92/489,253.02 = 214,064.68/x
  3. Step 3: Cross multiply
    326,738.92x = 489,253.02 × 214,064.68
  4. Step 4: Simplify right side
    326,738.92x = 104,731,791,165.33
  5. Step 5: Solve for x
    x = 104,731,791,165.33/326,738.92
  6. Step 6: Final answer
    x = 320,536.63

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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.