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Finding the Fourth Proportional to 300,272, 450,408 and 113,239.76

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Solution

The fourth proportional to 300,272, 450,408 and 113,239.76 is: 169,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,272 : 450,408 = 113,239.76 : x
  2. Step 2: Convert to fraction form
    300,272/450,408 = 113,239.76/x
  3. Step 3: Cross multiply
    300,272x = 450,408 × 113,239.76
  4. Step 4: Simplify right side
    300,272x = 51,004,093,822.08
  5. Step 5: Solve for x
    x = 51,004,093,822.08/300,272
  6. Step 6: Final answer
    x = 169,859.64

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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.