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Finding the Fourth Proportional to 266,180.76, 399,290.64 and 76,633.44

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Solution

The fourth proportional to 266,180.76, 399,290.64 and 76,633.44 is: 114,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,180.76 : 399,290.64 = 76,633.44 : x
  2. Step 2: Convert to fraction form
    266,180.76/399,290.64 = 76,633.44/x
  3. Step 3: Cross multiply
    266,180.76x = 399,290.64 × 76,633.44
  4. Step 4: Simplify right side
    266,180.76x = 30,599,015,303.00
  5. Step 5: Solve for x
    x = 30,599,015,303.00/266,180.76
  6. Step 6: Final answer
    x = 114,955.77

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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.