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Finding the Fourth Proportional to 307,355.94, 460,923 and 129,876.66

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Solution

The fourth proportional to 307,355.94, 460,923 and 129,876.66 is: 194,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,355.94 : 460,923 = 129,876.66 : x
  2. Step 2: Convert to fraction form
    307,355.94/460,923 = 129,876.66/x
  3. Step 3: Cross multiply
    307,355.94x = 460,923 × 129,876.66
  4. Step 4: Simplify right side
    307,355.94x = 59,863,139,757.18
  5. Step 5: Solve for x
    x = 59,863,139,757.18/307,355.94
  6. Step 6: Final answer
    x = 194,768.12

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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.