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Finding the Fourth Proportional to 307,982.43, 461,990.21 and 97,636.77

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Solution

The fourth proportional to 307,982.43, 461,990.21 and 97,636.77 is: 146,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,982.43 : 461,990.21 = 97,636.77 : x
  2. Step 2: Convert to fraction form
    307,982.43/461,990.21 = 97,636.77/x
  3. Step 3: Cross multiply
    307,982.43x = 461,990.21 × 97,636.77
  4. Step 4: Simplify right side
    307,982.43x = 45,107,231,387.84
  5. Step 5: Solve for x
    x = 45,107,231,387.84/307,982.43
  6. Step 6: Final answer
    x = 146,460.40

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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.