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Finding the Fourth Proportional to 501,418.94, 691,967.49 and 307,729.54

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Solution

The fourth proportional to 501,418.94, 691,967.49 and 307,729.54 is: 424,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,418.94 : 691,967.49 = 307,729.54 : x
  2. Step 2: Convert to fraction form
    501,418.94/691,967.49 = 307,729.54/x
  3. Step 3: Cross multiply
    501,418.94x = 691,967.49 × 307,729.54
  4. Step 4: Simplify right side
    501,418.94x = 212,938,837,392.66
  5. Step 5: Solve for x
    x = 212,938,837,392.66/501,418.94
  6. Step 6: Final answer
    x = 424,672.51

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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.