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Finding the Fourth Proportional to 321,566.40, 482,397.12 and 111,147.84

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Solution

The fourth proportional to 321,566.40, 482,397.12 and 111,147.84 is: 166,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,566.40 : 482,397.12 = 111,147.84 : x
  2. Step 2: Convert to fraction form
    321,566.40/482,397.12 = 111,147.84/x
  3. Step 3: Cross multiply
    321,566.40x = 482,397.12 × 111,147.84
  4. Step 4: Simplify right side
    321,566.40x = 53,617,397,910.22
  5. Step 5: Solve for x
    x = 53,617,397,910.22/321,566.40
  6. Step 6: Final answer
    x = 166,738.19

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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.