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Finding the Fourth Proportional to 269,866.21, 372,421.20 and 149,015.20

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Solution

The fourth proportional to 269,866.21, 372,421.20 and 149,015.20 is: 205,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,866.21 : 372,421.20 = 149,015.20 : x
  2. Step 2: Convert to fraction form
    269,866.21/372,421.20 = 149,015.20/x
  3. Step 3: Cross multiply
    269,866.21x = 372,421.20 × 149,015.20
  4. Step 4: Simplify right side
    269,866.21x = 55,496,419,602.24
  5. Step 5: Solve for x
    x = 55,496,419,602.24/269,866.21
  6. Step 6: Final answer
    x = 205,644.20

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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.