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Finding the Fourth Proportional to 257,293.32, 355,238.28 and 160,644.48

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Solution

The fourth proportional to 257,293.32, 355,238.28 and 160,644.48 is: 221,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,293.32 : 355,238.28 = 160,644.48 : x
  2. Step 2: Convert to fraction form
    257,293.32/355,238.28 = 160,644.48/x
  3. Step 3: Cross multiply
    257,293.32x = 355,238.28 × 160,644.48
  4. Step 4: Simplify right side
    257,293.32x = 57,067,068,766.69
  5. Step 5: Solve for x
    x = 57,067,068,766.69/257,293.32
  6. Step 6: Final answer
    x = 221,797.71

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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.