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Finding the Fourth Proportional to 431,958, 648,133.84 and 221,743.68

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Solution

The fourth proportional to 431,958, 648,133.84 and 221,743.68 is: 332,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,958 : 648,133.84 = 221,743.68 : x
  2. Step 2: Convert to fraction form
    431,958/648,133.84 = 221,743.68/x
  3. Step 3: Cross multiply
    431,958x = 648,133.84 × 221,743.68
  4. Step 4: Simplify right side
    431,958x = 143,719,582,814.13
  5. Step 5: Solve for x
    x = 143,719,582,814.13/431,958
  6. Step 6: Final answer
    x = 332,716.57

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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.