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Finding the Fourth Proportional to 257,008.97, 354,833.37 and 165,165.50

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Solution

The fourth proportional to 257,008.97, 354,833.37 and 165,165.50 is: 228,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,008.97 : 354,833.37 = 165,165.50 : x
  2. Step 2: Convert to fraction form
    257,008.97/354,833.37 = 165,165.50/x
  3. Step 3: Cross multiply
    257,008.97x = 354,833.37 × 165,165.50
  4. Step 4: Simplify right side
    257,008.97x = 58,606,229,198.57
  5. Step 5: Solve for x
    x = 58,606,229,198.57/257,008.97
  6. Step 6: Final answer
    x = 228,031.85

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1.5x scale

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.