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Finding the Fourth Proportional to 309,020.49, 463,738.50 and 109,340.10

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Solution

The fourth proportional to 309,020.49, 463,738.50 and 109,340.10 is: 164,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,020.49 : 463,738.50 = 109,340.10 : x
  2. Step 2: Convert to fraction form
    309,020.49/463,738.50 = 109,340.10/x
  3. Step 3: Cross multiply
    309,020.49x = 463,738.50 × 109,340.10
  4. Step 4: Simplify right side
    309,020.49x = 50,705,213,963.85
  5. Step 5: Solve for x
    x = 50,705,213,963.85/309,020.49
  6. Step 6: Final answer
    x = 164,083.66

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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.