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Finding the Fourth Proportional to 320,726.22, 480,757.14 and 263,970

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Solution

The fourth proportional to 320,726.22, 480,757.14 and 263,970 is: 395,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,726.22 : 480,757.14 = 263,970 : x
  2. Step 2: Convert to fraction form
    320,726.22/480,757.14 = 263,970/x
  3. Step 3: Cross multiply
    320,726.22x = 480,757.14 × 263,970
  4. Step 4: Simplify right side
    320,726.22x = 126,905,462,245.80
  5. Step 5: Solve for x
    x = 126,905,462,245.80/320,726.22
  6. Step 6: Final answer
    x = 395,681.59

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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.