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Finding the Fourth Proportional to 307,375.96, 460,953 and 129,896.68

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Solution

The fourth proportional to 307,375.96, 460,953 and 129,896.68 is: 194,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,375.96 : 460,953 = 129,896.68 : x
  2. Step 2: Convert to fraction form
    307,375.96/460,953 = 129,896.68/x
  3. Step 3: Cross multiply
    307,375.96x = 460,953 × 129,896.68
  4. Step 4: Simplify right side
    307,375.96x = 59,876,264,336.04
  5. Step 5: Solve for x
    x = 59,876,264,336.04/307,375.96
  6. Step 6: Final answer
    x = 194,798.14

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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.