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Finding the Fourth Proportional to 309,137.40, 463,620.45 and 109,431.51

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Solution

The fourth proportional to 309,137.40, 463,620.45 and 109,431.51 is: 164,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,137.40 : 463,620.45 = 109,431.51 : x
  2. Step 2: Convert to fraction form
    309,137.40/463,620.45 = 109,431.51/x
  3. Step 3: Cross multiply
    309,137.40x = 463,620.45 × 109,431.51
  4. Step 4: Simplify right side
    309,137.40x = 50,734,685,910.38
  5. Step 5: Solve for x
    x = 50,734,685,910.38/309,137.40
  6. Step 6: Final answer
    x = 164,116.95

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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.