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Finding the Fourth Proportional to 307,109.40, 460,664.10 and 280,537.35

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Solution

The fourth proportional to 307,109.40, 460,664.10 and 280,537.35 is: 420,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,109.40 : 460,664.10 = 280,537.35 : x
  2. Step 2: Convert to fraction form
    307,109.40/460,664.10 = 280,537.35/x
  3. Step 3: Cross multiply
    307,109.40x = 460,664.10 × 280,537.35
  4. Step 4: Simplify right side
    307,109.40x = 129,233,485,854.14
  5. Step 5: Solve for x
    x = 129,233,485,854.14/307,109.40
  6. Step 6: Final answer
    x = 420,806.03

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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.