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Finding the Fourth Proportional to 538,872.56, 743,609.76 and 297,156.68

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Solution

The fourth proportional to 538,872.56, 743,609.76 and 297,156.68 is: 410,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,872.56 : 743,609.76 = 297,156.68 : x
  2. Step 2: Convert to fraction form
    538,872.56/743,609.76 = 297,156.68/x
  3. Step 3: Cross multiply
    538,872.56x = 743,609.76 × 297,156.68
  4. Step 4: Simplify right side
    538,872.56x = 220,968,607,497.20
  5. Step 5: Solve for x
    x = 220,968,607,497.20/538,872.56
  6. Step 6: Final answer
    x = 410,057.26

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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.