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Finding the Fourth Proportional to 538,048.90, 742,452.54 and 331,284.45

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Solution

The fourth proportional to 538,048.90, 742,452.54 and 331,284.45 is: 457,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,048.90 : 742,452.54 = 331,284.45 : x
  2. Step 2: Convert to fraction form
    538,048.90/742,452.54 = 331,284.45/x
  3. Step 3: Cross multiply
    538,048.90x = 742,452.54 × 331,284.45
  4. Step 4: Simplify right side
    538,048.90x = 245,962,979,708.58
  5. Step 5: Solve for x
    x = 245,962,979,708.58/538,048.90
  6. Step 6: Final answer
    x = 457,138.71

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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.