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Finding the Fourth Proportional to 288,372, 397,926 and 167,509.98

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Solution

The fourth proportional to 288,372, 397,926 and 167,509.98 is: 231,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,372 : 397,926 = 167,509.98 : x
  2. Step 2: Convert to fraction form
    288,372/397,926 = 167,509.98/x
  3. Step 3: Cross multiply
    288,372x = 397,926 × 167,509.98
  4. Step 4: Simplify right side
    288,372x = 66,656,576,301.48
  5. Step 5: Solve for x
    x = 66,656,576,301.48/288,372
  6. Step 6: Final answer
    x = 231,147.88

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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.