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Finding the Fourth Proportional to 309,594.49, 427,287.09 and 188,805.84

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Solution

The fourth proportional to 309,594.49, 427,287.09 and 188,805.84 is: 260,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,594.49 : 427,287.09 = 188,805.84 : x
  2. Step 2: Convert to fraction form
    309,594.49/427,287.09 = 188,805.84/x
  3. Step 3: Cross multiply
    309,594.49x = 427,287.09 × 188,805.84
  4. Step 4: Simplify right side
    309,594.49x = 80,674,297,948.61
  5. Step 5: Solve for x
    x = 80,674,297,948.61/309,594.49
  6. Step 6: Final answer
    x = 260,580.54

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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.