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Finding the Fourth Proportional to 538,722.93, 743,415.21 and 293,702.37

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Solution

The fourth proportional to 538,722.93, 743,415.21 and 293,702.37 is: 405,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,722.93 : 743,415.21 = 293,702.37 : x
  2. Step 2: Convert to fraction form
    538,722.93/743,415.21 = 293,702.37/x
  3. Step 3: Cross multiply
    538,722.93x = 743,415.21 × 293,702.37
  4. Step 4: Simplify right side
    538,722.93x = 218,342,809,071.05
  5. Step 5: Solve for x
    x = 218,342,809,071.05/538,722.93
  6. Step 6: Final answer
    x = 405,297.04

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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.