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Finding the Fourth Proportional to 269,761.20, 405,079.20 and 181,406.40

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Solution

The fourth proportional to 269,761.20, 405,079.20 and 181,406.40 is: 272,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,761.20 : 405,079.20 = 181,406.40 : x
  2. Step 2: Convert to fraction form
    269,761.20/405,079.20 = 181,406.40/x
  3. Step 3: Cross multiply
    269,761.20x = 405,079.20 × 181,406.40
  4. Step 4: Simplify right side
    269,761.20x = 73,483,959,386.88
  5. Step 5: Solve for x
    x = 73,483,959,386.88/269,761.20
  6. Step 6: Final answer
    x = 272,403.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.