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Finding the Fourth Proportional to 538,093.14, 742,640.31 and 347,660.70

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Solution

The fourth proportional to 538,093.14, 742,640.31 and 347,660.70 is: 479,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,093.14 : 742,640.31 = 347,660.70 : x
  2. Step 2: Convert to fraction form
    538,093.14/742,640.31 = 347,660.70/x
  3. Step 3: Cross multiply
    538,093.14x = 742,640.31 × 347,660.70
  4. Step 4: Simplify right side
    538,093.14x = 258,186,850,022.82
  5. Step 5: Solve for x
    x = 258,186,850,022.82/538,093.14
  6. Step 6: Final answer
    x = 479,818.14

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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.