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Finding the Fourth Proportional to 427,698.10, 640,855.95 and 269,643.70

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Solution

The fourth proportional to 427,698.10, 640,855.95 and 269,643.70 is: 404,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,698.10 : 640,855.95 = 269,643.70 : x
  2. Step 2: Convert to fraction form
    427,698.10/640,855.95 = 269,643.70/x
  3. Step 3: Cross multiply
    427,698.10x = 640,855.95 × 269,643.70
  4. Step 4: Simplify right side
    427,698.10x = 172,802,769,525.02
  5. Step 5: Solve for x
    x = 172,802,769,525.02/427,698.10
  6. Step 6: Final answer
    x = 404,029.78

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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.