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Finding the Fourth Proportional to 538,422.12, 743,020.94 and 296,704.60

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Solution

The fourth proportional to 538,422.12, 743,020.94 and 296,704.60 is: 409,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,422.12 : 743,020.94 = 296,704.60 : x
  2. Step 2: Convert to fraction form
    538,422.12/743,020.94 = 296,704.60/x
  3. Step 3: Cross multiply
    538,422.12x = 743,020.94 × 296,704.60
  4. Step 4: Simplify right side
    538,422.12x = 220,457,730,794.32
  5. Step 5: Solve for x
    x = 220,457,730,794.32/538,422.12
  6. Step 6: Final answer
    x = 409,451.47

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1.5x scale

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.