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Finding the Fourth Proportional to 220,310, 304,028.64 and 119,708

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Solution

The fourth proportional to 220,310, 304,028.64 and 119,708 is: 165,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,310 : 304,028.64 = 119,708 : x
  2. Step 2: Convert to fraction form
    220,310/304,028.64 = 119,708/x
  3. Step 3: Cross multiply
    220,310x = 304,028.64 × 119,708
  4. Step 4: Simplify right side
    220,310x = 36,394,660,437.12
  5. Step 5: Solve for x
    x = 36,394,660,437.12/220,310
  6. Step 6: Final answer
    x = 165,197.50

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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.