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Finding the Fourth Proportional to 538,049.87, 742,453.87 and 331,285.42

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Solution

The fourth proportional to 538,049.87, 742,453.87 and 331,285.42 is: 457,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,049.87 : 742,453.87 = 331,285.42 : x
  2. Step 2: Convert to fraction form
    538,049.87/742,453.87 = 331,285.42/x
  3. Step 3: Cross multiply
    538,049.87x = 742,453.87 × 331,285.42
  4. Step 4: Simplify right side
    538,049.87x = 245,964,142,153.58
  5. Step 5: Solve for x
    x = 245,964,142,153.58/538,049.87
  6. Step 6: Final answer
    x = 457,140.05

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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.