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Finding the Fourth Proportional to 538,514.70, 743,119.96 and 296,796.53

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Solution

The fourth proportional to 538,514.70, 743,119.96 and 296,796.53 is: 409,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,514.70 : 743,119.96 = 296,796.53 : x
  2. Step 2: Convert to fraction form
    538,514.70/743,119.96 = 296,796.53/x
  3. Step 3: Cross multiply
    538,514.70x = 743,119.96 × 296,796.53
  4. Step 4: Simplify right side
    538,514.70x = 220,555,425,501.74
  5. Step 5: Solve for x
    x = 220,555,425,501.74/538,514.70
  6. Step 6: Final answer
    x = 409,562.50

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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.