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Finding the Fourth Proportional to 321,804.70, 482,707.05 and 85,171.30

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Solution

The fourth proportional to 321,804.70, 482,707.05 and 85,171.30 is: 127,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,804.70 : 482,707.05 = 85,171.30 : x
  2. Step 2: Convert to fraction form
    321,804.70/482,707.05 = 85,171.30/x
  3. Step 3: Cross multiply
    321,804.70x = 482,707.05 × 85,171.30
  4. Step 4: Simplify right side
    321,804.70x = 41,112,786,967.67
  5. Step 5: Solve for x
    x = 41,112,786,967.67/321,804.70
  6. Step 6: Final answer
    x = 127,756.95

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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.