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Finding the Fourth Proportional to 535,930.40, 802,729.20 and 325,200.80

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Solution

The fourth proportional to 535,930.40, 802,729.20 and 325,200.80 is: 487,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,930.40 : 802,729.20 = 325,200.80 : x
  2. Step 2: Convert to fraction form
    535,930.40/802,729.20 = 325,200.80/x
  3. Step 3: Cross multiply
    535,930.40x = 802,729.20 × 325,200.80
  4. Step 4: Simplify right side
    535,930.40x = 261,048,178,023.36
  5. Step 5: Solve for x
    x = 261,048,178,023.36/535,930.40
  6. Step 6: Final answer
    x = 487,093.43

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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.