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Finding the Fourth Proportional to 538,449.70, 743,050.38 and 296,754.70

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Solution

The fourth proportional to 538,449.70, 743,050.38 and 296,754.70 is: 409,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,449.70 : 743,050.38 = 296,754.70 : x
  2. Step 2: Convert to fraction form
    538,449.70/743,050.38 = 296,754.70/x
  3. Step 3: Cross multiply
    538,449.70x = 743,050.38 × 296,754.70
  4. Step 4: Simplify right side
    538,449.70x = 220,503,692,601.79
  5. Step 5: Solve for x
    x = 220,503,692,601.79/538,449.70
  6. Step 6: Final answer
    x = 409,515.86

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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.