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Finding the Fourth Proportional to 501,072.21, 691,507.94 and 297,243.81

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Solution

The fourth proportional to 501,072.21, 691,507.94 and 297,243.81 is: 410,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,072.21 : 691,507.94 = 297,243.81 : x
  2. Step 2: Convert to fraction form
    501,072.21/691,507.94 = 297,243.81/x
  3. Step 3: Cross multiply
    501,072.21x = 691,507.94 × 297,243.81
  4. Step 4: Simplify right side
    501,072.21x = 205,546,453,244.63
  5. Step 5: Solve for x
    x = 205,546,453,244.63/501,072.21
  6. Step 6: Final answer
    x = 410,213.24

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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.