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Finding the Fourth Proportional to 538,896.48, 743,672.64 and 297,189.12

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Solution

The fourth proportional to 538,896.48, 743,672.64 and 297,189.12 is: 410,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,896.48 : 743,672.64 = 297,189.12 : x
  2. Step 2: Convert to fraction form
    538,896.48/743,672.64 = 297,189.12/x
  3. Step 3: Cross multiply
    538,896.48x = 743,672.64 × 297,189.12
  4. Step 4: Simplify right side
    538,896.48x = 221,011,417,449.68
  5. Step 5: Solve for x
    x = 221,011,417,449.68/538,896.48
  6. Step 6: Final answer
    x = 410,118.50

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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.