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Finding the Fourth Proportional to 307,195.70, 460,431.54 and 138,518.54

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Solution

The fourth proportional to 307,195.70, 460,431.54 and 138,518.54 is: 207,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,195.70 : 460,431.54 = 138,518.54 : x
  2. Step 2: Convert to fraction form
    307,195.70/460,431.54 = 138,518.54/x
  3. Step 3: Cross multiply
    307,195.70x = 460,431.54 × 138,518.54
  4. Step 4: Simplify right side
    307,195.70x = 63,778,304,115.21
  5. Step 5: Solve for x
    x = 63,778,304,115.21/307,195.70
  6. Step 6: Final answer
    x = 207,614.57

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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.