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Finding the Fourth Proportional to 257,060.46, 384,920.01 and 206,866.38

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Solution

The fourth proportional to 257,060.46, 384,920.01 and 206,866.38 is: 309,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,060.46 : 384,920.01 = 206,866.38 : x
  2. Step 2: Convert to fraction form
    257,060.46/384,920.01 = 206,866.38/x
  3. Step 3: Cross multiply
    257,060.46x = 384,920.01 × 206,866.38
  4. Step 4: Simplify right side
    257,060.46x = 79,627,009,058.26
  5. Step 5: Solve for x
    x = 79,627,009,058.26/257,060.46
  6. Step 6: Final answer
    x = 309,759.85

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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.