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Finding the Fourth Proportional to 257,900.31, 386,347.22 and 168,883.94

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Solution

The fourth proportional to 257,900.31, 386,347.22 and 168,883.94 is: 252,996.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,900.31 : 386,347.22 = 168,883.94 : x
  2. Step 2: Convert to fraction form
    257,900.31/386,347.22 = 168,883.94/x
  3. Step 3: Cross multiply
    257,900.31x = 386,347.22 × 168,883.94
  4. Step 4: Simplify right side
    257,900.31x = 65,247,840,721.65
  5. Step 5: Solve for x
    x = 65,247,840,721.65/257,900.31
  6. Step 6: Final answer
    x = 252,996.36

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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.