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Finding the Fourth Proportional to 257,009.97, 354,834.75 and 165,166.50

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Solution

The fourth proportional to 257,009.97, 354,834.75 and 165,166.50 is: 228,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,009.97 : 354,834.75 = 165,166.50 : x
  2. Step 2: Convert to fraction form
    257,009.97/354,834.75 = 165,166.50/x
  3. Step 3: Cross multiply
    257,009.97x = 354,834.75 × 165,166.50
  4. Step 4: Simplify right side
    257,009.97x = 58,606,813,735.88
  5. Step 5: Solve for x
    x = 58,606,813,735.88/257,009.97
  6. Step 6: Final answer
    x = 228,033.23

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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.