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Finding the Fourth Proportional to 307,720.85, 424,982.16 and 234,338.81

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Solution

The fourth proportional to 307,720.85, 424,982.16 and 234,338.81 is: 323,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,720.85 : 424,982.16 = 234,338.81 : x
  2. Step 2: Convert to fraction form
    307,720.85/424,982.16 = 234,338.81/x
  3. Step 3: Cross multiply
    307,720.85x = 424,982.16 × 234,338.81
  4. Step 4: Simplify right side
    307,720.85x = 99,589,811,520.72
  5. Step 5: Solve for x
    x = 99,589,811,520.72/307,720.85
  6. Step 6: Final answer
    x = 323,636.87

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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.