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Finding the Fourth Proportional to 390,100, 538,185.60 and 226,729.36

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Solution

The fourth proportional to 390,100, 538,185.60 and 226,729.36 is: 312,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,100 : 538,185.60 = 226,729.36 : x
  2. Step 2: Convert to fraction form
    390,100/538,185.60 = 226,729.36/x
  3. Step 3: Cross multiply
    390,100x = 538,185.60 × 226,729.36
  4. Step 4: Simplify right side
    390,100x = 122,022,476,649.22
  5. Step 5: Solve for x
    x = 122,022,476,649.22/390,100
  6. Step 6: Final answer
    x = 312,797.94

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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.