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Finding the Fourth Proportional to 538,691.22, 743,409.81 and 296,983.98

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Solution

The fourth proportional to 538,691.22, 743,409.81 and 296,983.98 is: 409,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,691.22 : 743,409.81 = 296,983.98 : x
  2. Step 2: Convert to fraction form
    538,691.22/743,409.81 = 296,983.98/x
  3. Step 3: Cross multiply
    538,691.22x = 743,409.81 × 296,983.98
  4. Step 4: Simplify right side
    538,691.22x = 220,780,804,144.84
  5. Step 5: Solve for x
    x = 220,780,804,144.84/538,691.22
  6. Step 6: Final answer
    x = 409,846.67

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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.