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Finding the Fourth Proportional to 257,006.31, 354,855.80 and 206,297.98

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Solution

The fourth proportional to 257,006.31, 354,855.80 and 206,297.98 is: 284,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,006.31 : 354,855.80 = 206,297.98 : x
  2. Step 2: Convert to fraction form
    257,006.31/354,855.80 = 206,297.98/x
  3. Step 3: Cross multiply
    257,006.31x = 354,855.80 × 206,297.98
  4. Step 4: Simplify right side
    257,006.31x = 73,206,034,731.28
  5. Step 5: Solve for x
    x = 73,206,034,731.28/257,006.31
  6. Step 6: Final answer
    x = 284,841.39

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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.