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Finding the Fourth Proportional to 309,490.12, 427,172.36 and 188,698

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Solution

The fourth proportional to 309,490.12, 427,172.36 and 188,698 is: 260,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,490.12 : 427,172.36 = 188,698 : x
  2. Step 2: Convert to fraction form
    309,490.12/427,172.36 = 188,698/x
  3. Step 3: Cross multiply
    309,490.12x = 427,172.36 × 188,698
  4. Step 4: Simplify right side
    309,490.12x = 80,606,569,987.28
  5. Step 5: Solve for x
    x = 80,606,569,987.28/309,490.12
  6. Step 6: Final answer
    x = 260,449.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.