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Finding the Fourth Proportional to 538,695.31, 743,405.26 and 296,986.54

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Solution

The fourth proportional to 538,695.31, 743,405.26 and 296,986.54 is: 409,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,695.31 : 743,405.26 = 296,986.54 : x
  2. Step 2: Convert to fraction form
    538,695.31/743,405.26 = 296,986.54/x
  3. Step 3: Cross multiply
    538,695.31x = 743,405.26 × 296,986.54
  4. Step 4: Simplify right side
    538,695.31x = 220,781,355,985.20
  5. Step 5: Solve for x
    x = 220,781,355,985.20/538,695.31
  6. Step 6: Final answer
    x = 409,844.59

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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.