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Finding the Fourth Proportional to 427,043.20, 640,273.20 and 202,511.20

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Solution

The fourth proportional to 427,043.20, 640,273.20 and 202,511.20 is: 303,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,043.20 : 640,273.20 = 202,511.20 : x
  2. Step 2: Convert to fraction form
    427,043.20/640,273.20 = 202,511.20/x
  3. Step 3: Cross multiply
    427,043.20x = 640,273.20 × 202,511.20
  4. Step 4: Simplify right side
    427,043.20x = 129,662,494,059.84
  5. Step 5: Solve for x
    x = 129,662,494,059.84/427,043.20
  6. Step 6: Final answer
    x = 303,628.52

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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.