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Finding the Fourth Proportional to 257,166.08, 385,408.88 and 186,326.72

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Solution

The fourth proportional to 257,166.08, 385,408.88 and 186,326.72 is: 279,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,166.08 : 385,408.88 = 186,326.72 : x
  2. Step 2: Convert to fraction form
    257,166.08/385,408.88 = 186,326.72/x
  3. Step 3: Cross multiply
    257,166.08x = 385,408.88 × 186,326.72
  4. Step 4: Simplify right side
    257,166.08x = 71,811,972,469.27
  5. Step 5: Solve for x
    x = 71,811,972,469.27/257,166.08
  6. Step 6: Final answer
    x = 279,243.56

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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.