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Finding the Fourth Proportional to 419,513, 579,146.82 and 326,171.76

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Solution

The fourth proportional to 419,513, 579,146.82 and 326,171.76 is: 450,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,513 : 579,146.82 = 326,171.76 : x
  2. Step 2: Convert to fraction form
    419,513/579,146.82 = 326,171.76/x
  3. Step 3: Cross multiply
    419,513x = 579,146.82 × 326,171.76
  4. Step 4: Simplify right side
    419,513x = 188,901,337,577.80
  5. Step 5: Solve for x
    x = 188,901,337,577.80/419,513
  6. Step 6: Final answer
    x = 450,287.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.