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Finding the Fourth Proportional to 257,967, 386,950.44 and 169,200

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Solution

The fourth proportional to 257,967, 386,950.44 and 169,200 is: 253,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,967 : 386,950.44 = 169,200 : x
  2. Step 2: Convert to fraction form
    257,967/386,950.44 = 169,200/x
  3. Step 3: Cross multiply
    257,967x = 386,950.44 × 169,200
  4. Step 4: Simplify right side
    257,967x = 65,472,014,448
  5. Step 5: Solve for x
    x = 65,472,014,448/257,967
  6. Step 6: Final answer
    x = 253,799.96

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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.