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Finding the Fourth Proportional to 426,797.02, 640,367.66 and 189,977.73

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Solution

The fourth proportional to 426,797.02, 640,367.66 and 189,977.73 is: 285,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,797.02 : 640,367.66 = 189,977.73 : x
  2. Step 2: Convert to fraction form
    426,797.02/640,367.66 = 189,977.73/x
  3. Step 3: Cross multiply
    426,797.02x = 640,367.66 × 189,977.73
  4. Step 4: Simplify right side
    426,797.02x = 121,655,594,412.21
  5. Step 5: Solve for x
    x = 121,655,594,412.21/426,797.02
  6. Step 6: Final answer
    x = 285,043.21

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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.