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Finding the Fourth Proportional to 450,794.76, 622,007.80 and 257,198.28

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Solution

The fourth proportional to 450,794.76, 622,007.80 and 257,198.28 is: 354,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,794.76 : 622,007.80 = 257,198.28 : x
  2. Step 2: Convert to fraction form
    450,794.76/622,007.80 = 257,198.28/x
  3. Step 3: Cross multiply
    450,794.76x = 622,007.80 × 257,198.28
  4. Step 4: Simplify right side
    450,794.76x = 159,979,336,306.58
  5. Step 5: Solve for x
    x = 159,979,336,306.58/450,794.76
  6. Step 6: Final answer
    x = 354,882.87

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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.