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Finding the Fourth Proportional to 538,228.60, 743,558.53 and 434,708.33

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Solution

The fourth proportional to 538,228.60, 743,558.53 and 434,708.33 is: 600,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,228.60 : 743,558.53 = 434,708.33 : x
  2. Step 2: Convert to fraction form
    538,228.60/743,558.53 = 434,708.33/x
  3. Step 3: Cross multiply
    538,228.60x = 743,558.53 × 434,708.33
  4. Step 4: Simplify right side
    538,228.60x = 323,231,086,833.56
  5. Step 5: Solve for x
    x = 323,231,086,833.56/538,228.60
  6. Step 6: Final answer
    x = 600,546.10

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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.