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Finding the Fourth Proportional to 326,729.70, 490,094.55 and 214,755.30

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Solution

The fourth proportional to 326,729.70, 490,094.55 and 214,755.30 is: 322,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,729.70 : 490,094.55 = 214,755.30 : x
  2. Step 2: Convert to fraction form
    326,729.70/490,094.55 = 214,755.30/x
  3. Step 3: Cross multiply
    326,729.70x = 490,094.55 × 214,755.30
  4. Step 4: Simplify right side
    326,729.70x = 105,250,402,113.62
  5. Step 5: Solve for x
    x = 105,250,402,113.62/326,729.70
  6. Step 6: Final answer
    x = 322,132.95

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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.