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Finding the Fourth Proportional to 427,725.30, 640,205.55 and 333,722.10

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Solution

The fourth proportional to 427,725.30, 640,205.55 and 333,722.10 is: 499,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,725.30 : 640,205.55 = 333,722.10 : x
  2. Step 2: Convert to fraction form
    427,725.30/640,205.55 = 333,722.10/x
  3. Step 3: Cross multiply
    427,725.30x = 640,205.55 × 333,722.10
  4. Step 4: Simplify right side
    427,725.30x = 213,650,740,577.66
  5. Step 5: Solve for x
    x = 213,650,740,577.66/427,725.30
  6. Step 6: Final answer
    x = 499,504.57

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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.