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Finding the Fourth Proportional to 285,303, 393,821.82 and 166,071

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Solution

The fourth proportional to 285,303, 393,821.82 and 166,071 is: 229,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,303 : 393,821.82 = 166,071 : x
  2. Step 2: Convert to fraction form
    285,303/393,821.82 = 166,071/x
  3. Step 3: Cross multiply
    285,303x = 393,821.82 × 166,071
  4. Step 4: Simplify right side
    285,303x = 65,402,383,469.22
  5. Step 5: Solve for x
    x = 65,402,383,469.22/285,303
  6. Step 6: Final answer
    x = 229,238.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.