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Finding the Fourth Proportional to 230,580, 318,200.40 and 129,978

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Solution

The fourth proportional to 230,580, 318,200.40 and 129,978 is: 179,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,580 : 318,200.40 = 129,978 : x
  2. Step 2: Convert to fraction form
    230,580/318,200.40 = 129,978/x
  3. Step 3: Cross multiply
    230,580x = 318,200.40 × 129,978
  4. Step 4: Simplify right side
    230,580x = 41,359,051,591.20
  5. Step 5: Solve for x
    x = 41,359,051,591.20/230,580
  6. Step 6: Final answer
    x = 179,369.64

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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.