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Finding the Fourth Proportional to 257,415.32, 386,232.90 and 132,843.80

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Solution

The fourth proportional to 257,415.32, 386,232.90 and 132,843.80 is: 199,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,415.32 : 386,232.90 = 132,843.80 : x
  2. Step 2: Convert to fraction form
    257,415.32/386,232.90 = 132,843.80/x
  3. Step 3: Cross multiply
    257,415.32x = 386,232.90 × 132,843.80
  4. Step 4: Simplify right side
    257,415.32x = 51,308,646,121.02
  5. Step 5: Solve for x
    x = 51,308,646,121.02/257,415.32
  6. Step 6: Final answer
    x = 199,322.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.