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Finding the Fourth Proportional to 406,824.53, 561,629.09 and 315,977.09

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Solution

The fourth proportional to 406,824.53, 561,629.09 and 315,977.09 is: 436,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,824.53 : 561,629.09 = 315,977.09 : x
  2. Step 2: Convert to fraction form
    406,824.53/561,629.09 = 315,977.09/x
  3. Step 3: Cross multiply
    406,824.53x = 561,629.09 × 315,977.09
  4. Step 4: Simplify right side
    406,824.53x = 177,461,923,499.35
  5. Step 5: Solve for x
    x = 177,461,923,499.35/406,824.53
  6. Step 6: Final answer
    x = 436,212.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.