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Finding the Fourth Proportional to 436,364, 654,619.81 and 223,224.45

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Solution

The fourth proportional to 436,364, 654,619.81 and 223,224.45 is: 334,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,364 : 654,619.81 = 223,224.45 : x
  2. Step 2: Convert to fraction form
    436,364/654,619.81 = 223,224.45/x
  3. Step 3: Cross multiply
    436,364x = 654,619.81 × 223,224.45
  4. Step 4: Simplify right side
    436,364x = 146,127,147,046.36
  5. Step 5: Solve for x
    x = 146,127,147,046.36/436,364
  6. Step 6: Final answer
    x = 334,874.43

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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.