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Finding the Fourth Proportional to 428,494.74, 643,194.08 and 418,843.78

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Solution

The fourth proportional to 428,494.74, 643,194.08 and 418,843.78 is: 628,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,494.74 : 643,194.08 = 418,843.78 : x
  2. Step 2: Convert to fraction form
    428,494.74/643,194.08 = 418,843.78/x
  3. Step 3: Cross multiply
    428,494.74x = 643,194.08 × 418,843.78
  4. Step 4: Simplify right side
    428,494.74x = 269,397,839,740.82
  5. Step 5: Solve for x
    x = 269,397,839,740.82/428,494.74
  6. Step 6: Final answer
    x = 628,707.46

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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.