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Finding the Fourth Proportional to 333,231.47, 459,531.77 and 305,570.78

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Solution

The fourth proportional to 333,231.47, 459,531.77 and 305,570.78 is: 421,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,231.47 : 459,531.77 = 305,570.78 : x
  2. Step 2: Convert to fraction form
    333,231.47/459,531.77 = 305,570.78/x
  3. Step 3: Cross multiply
    333,231.47x = 459,531.77 × 305,570.78
  4. Step 4: Simplify right side
    333,231.47x = 140,419,479,865.83
  5. Step 5: Solve for x
    x = 140,419,479,865.83/333,231.47
  6. Step 6: Final answer
    x = 421,387.21

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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.