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Finding the Fourth Proportional to 257,796.25, 355,754.46 and 144,616.57

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Solution

The fourth proportional to 257,796.25, 355,754.46 and 144,616.57 is: 199,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,796.25 : 355,754.46 = 144,616.57 : x
  2. Step 2: Convert to fraction form
    257,796.25/355,754.46 = 144,616.57/x
  3. Step 3: Cross multiply
    257,796.25x = 355,754.46 × 144,616.57
  4. Step 4: Simplify right side
    257,796.25x = 51,447,989,767.40
  5. Step 5: Solve for x
    x = 51,447,989,767.40/257,796.25
  6. Step 6: Final answer
    x = 199,568.42

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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.