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Finding the Fourth Proportional to 538,651.54, 743,329.82 and 296,956.60

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Solution

The fourth proportional to 538,651.54, 743,329.82 and 296,956.60 is: 409,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,651.54 : 743,329.82 = 296,956.60 : x
  2. Step 2: Convert to fraction form
    538,651.54/743,329.82 = 296,956.60/x
  3. Step 3: Cross multiply
    538,651.54x = 743,329.82 × 296,956.60
  4. Step 4: Simplify right side
    538,651.54x = 220,736,694,541.03
  5. Step 5: Solve for x
    x = 220,736,694,541.03/538,651.54
  6. Step 6: Final answer
    x = 409,794.98

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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.