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Finding the Fourth Proportional to 257,005.31, 354,854.42 and 206,296.98

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Solution

The fourth proportional to 257,005.31, 354,854.42 and 206,296.98 is: 284,840.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,005.31 : 354,854.42 = 206,296.98 : x
  2. Step 2: Convert to fraction form
    257,005.31/354,854.42 = 206,296.98/x
  3. Step 3: Cross multiply
    257,005.31x = 354,854.42 × 206,296.98
  4. Step 4: Simplify right side
    257,005.31x = 73,205,393,597.08
  5. Step 5: Solve for x
    x = 73,205,393,597.08/257,005.31
  6. Step 6: Final answer
    x = 284,840.01

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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.