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Finding the Fourth Proportional to 307,381.92, 460,962 and 129,902.64

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Solution

The fourth proportional to 307,381.92, 460,962 and 129,902.64 is: 194,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,381.92 : 460,962 = 129,902.64 : x
  2. Step 2: Convert to fraction form
    307,381.92/460,962 = 129,902.64/x
  3. Step 3: Cross multiply
    307,381.92x = 460,962 × 129,902.64
  4. Step 4: Simplify right side
    307,381.92x = 59,880,180,739.68
  5. Step 5: Solve for x
    x = 59,880,180,739.68/307,381.92
  6. Step 6: Final answer
    x = 194,807.10

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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.