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Finding the Fourth Proportional to 297,109, 445,682.94 and 130,897

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Solution

The fourth proportional to 297,109, 445,682.94 and 130,897 is: 196,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,109 : 445,682.94 = 130,897 : x
  2. Step 2: Convert to fraction form
    297,109/445,682.94 = 130,897/x
  3. Step 3: Cross multiply
    297,109x = 445,682.94 × 130,897
  4. Step 4: Simplify right side
    297,109x = 58,338,559,797.18
  5. Step 5: Solve for x
    x = 58,338,559,797.18/297,109
  6. Step 6: Final answer
    x = 196,354.06

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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.