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Finding the Fourth Proportional to 538,236, 742,765.68 and 299,772

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Solution

The fourth proportional to 538,236, 742,765.68 and 299,772 is: 413,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,236 : 742,765.68 = 299,772 : x
  2. Step 2: Convert to fraction form
    538,236/742,765.68 = 299,772/x
  3. Step 3: Cross multiply
    538,236x = 742,765.68 × 299,772
  4. Step 4: Simplify right side
    538,236x = 222,660,353,424.96
  5. Step 5: Solve for x
    x = 222,660,353,424.96/538,236
  6. Step 6: Final answer
    x = 413,685.36

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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.