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Finding the Fourth Proportional to 406,388.40, 608,999.40 and 298,933.80

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Solution

The fourth proportional to 406,388.40, 608,999.40 and 298,933.80 is: 447,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,388.40 : 608,999.40 = 298,933.80 : x
  2. Step 2: Convert to fraction form
    406,388.40/608,999.40 = 298,933.80/x
  3. Step 3: Cross multiply
    406,388.40x = 608,999.40 × 298,933.80
  4. Step 4: Simplify right side
    406,388.40x = 182,050,504,839.72
  5. Step 5: Solve for x
    x = 182,050,504,839.72/406,388.40
  6. Step 6: Final answer
    x = 447,971.71

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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.