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Finding the Fourth Proportional to 266,077.80, 399,408.30 and 166,350.60

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Solution

The fourth proportional to 266,077.80, 399,408.30 and 166,350.60 is: 249,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,077.80 : 399,408.30 = 166,350.60 : x
  2. Step 2: Convert to fraction form
    266,077.80/399,408.30 = 166,350.60/x
  3. Step 3: Cross multiply
    266,077.80x = 399,408.30 × 166,350.60
  4. Step 4: Simplify right side
    266,077.80x = 66,441,810,349.98
  5. Step 5: Solve for x
    x = 66,441,810,349.98/266,077.80
  6. Step 6: Final answer
    x = 249,708.21

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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.