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Finding the Fourth Proportional to 427,137.47, 641,021.62 and 202,498.69

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Solution

The fourth proportional to 427,137.47, 641,021.62 and 202,498.69 is: 303,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,137.47 : 641,021.62 = 202,498.69 : x
  2. Step 2: Convert to fraction form
    427,137.47/641,021.62 = 202,498.69/x
  3. Step 3: Cross multiply
    427,137.47x = 641,021.62 × 202,498.69
  4. Step 4: Simplify right side
    427,137.47x = 129,806,036,202.88
  5. Step 5: Solve for x
    x = 129,806,036,202.88/427,137.47
  6. Step 6: Final answer
    x = 303,897.57

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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.