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Finding the Fourth Proportional to 538,049.90, 742,453.92 and 331,285.46

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Solution

The fourth proportional to 538,049.90, 742,453.92 and 331,285.46 is: 457,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,049.90 : 742,453.92 = 331,285.46 : x
  2. Step 2: Convert to fraction form
    538,049.90/742,453.92 = 331,285.46/x
  3. Step 3: Cross multiply
    538,049.90x = 742,453.92 × 331,285.46
  4. Step 4: Simplify right side
    538,049.90x = 245,964,184,703.73
  5. Step 5: Solve for x
    x = 245,964,184,703.73/538,049.90
  6. Step 6: Final answer
    x = 457,140.10

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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.