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Finding the Fourth Proportional to 317,796.76, 438,635.91 and 181,909.48

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Solution

The fourth proportional to 317,796.76, 438,635.91 and 181,909.48 is: 251,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,796.76 : 438,635.91 = 181,909.48 : x
  2. Step 2: Convert to fraction form
    317,796.76/438,635.91 = 181,909.48/x
  3. Step 3: Cross multiply
    317,796.76x = 438,635.91 × 181,909.48
  4. Step 4: Simplify right side
    317,796.76x = 79,792,030,297.43
  5. Step 5: Solve for x
    x = 79,792,030,297.43/317,796.76
  6. Step 6: Final answer
    x = 251,078.80

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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.