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Finding the Fourth Proportional to 309,208.10, 463,763.55 and 109,499.90

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Solution

The fourth proportional to 309,208.10, 463,763.55 and 109,499.90 is: 164,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,208.10 : 463,763.55 = 109,499.90 : x
  2. Step 2: Convert to fraction form
    309,208.10/463,763.55 = 109,499.90/x
  3. Step 3: Cross multiply
    309,208.10x = 463,763.55 × 109,499.90
  4. Step 4: Simplify right side
    309,208.10x = 50,782,062,348.65
  5. Step 5: Solve for x
    x = 50,782,062,348.65/309,208.10
  6. Step 6: Final answer
    x = 164,232.64

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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.