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Finding the Fourth Proportional to 538,203, 742,720.14 and 299,739

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Solution

The fourth proportional to 538,203, 742,720.14 and 299,739 is: 413,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,203 : 742,720.14 = 299,739 : x
  2. Step 2: Convert to fraction form
    538,203/742,720.14 = 299,739/x
  3. Step 3: Cross multiply
    538,203x = 742,720.14 × 299,739
  4. Step 4: Simplify right side
    538,203x = 222,622,192,043.46
  5. Step 5: Solve for x
    x = 222,622,192,043.46/538,203
  6. Step 6: Final answer
    x = 413,639.82

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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.