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Finding the Fourth Proportional to 538,609.44, 743,247.08 and 296,878.64

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Solution

The fourth proportional to 538,609.44, 743,247.08 and 296,878.64 is: 409,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,609.44 : 743,247.08 = 296,878.64 : x
  2. Step 2: Convert to fraction form
    538,609.44/743,247.08 = 296,878.64/x
  3. Step 3: Cross multiply
    538,609.44x = 743,247.08 × 296,878.64
  4. Step 4: Simplify right side
    538,609.44x = 220,654,182,294.37
  5. Step 5: Solve for x
    x = 220,654,182,294.37/538,609.44
  6. Step 6: Final answer
    x = 409,673.81

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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.