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Finding the Fourth Proportional to 538,074.25, 742,477.44 and 308,619.70

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Solution

The fourth proportional to 538,074.25, 742,477.44 and 308,619.70 is: 425,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,074.25 : 742,477.44 = 308,619.70 : x
  2. Step 2: Convert to fraction form
    538,074.25/742,477.44 = 308,619.70/x
  3. Step 3: Cross multiply
    538,074.25x = 742,477.44 × 308,619.70
  4. Step 4: Simplify right side
    538,074.25x = 229,143,164,789.57
  5. Step 5: Solve for x
    x = 229,143,164,789.57/538,074.25
  6. Step 6: Final answer
    x = 425,857.89

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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.