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Finding the Fourth Proportional to 435,142.22, 653,142.89 and 326,694.39

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Solution

The fourth proportional to 435,142.22, 653,142.89 and 326,694.39 is: 490,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,142.22 : 653,142.89 = 326,694.39 : x
  2. Step 2: Convert to fraction form
    435,142.22/653,142.89 = 326,694.39/x
  3. Step 3: Cross multiply
    435,142.22x = 653,142.89 × 326,694.39
  4. Step 4: Simplify right side
    435,142.22x = 213,378,116,397.92
  5. Step 5: Solve for x
    x = 213,378,116,397.92/435,142.22
  6. Step 6: Final answer
    x = 490,364.09

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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.