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Finding the Fourth Proportional to 307,571.70, 460,839.15 and 149,459.70

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Solution

The fourth proportional to 307,571.70, 460,839.15 and 149,459.70 is: 223,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,571.70 : 460,839.15 = 149,459.70 : x
  2. Step 2: Convert to fraction form
    307,571.70/460,839.15 = 149,459.70/x
  3. Step 3: Cross multiply
    307,571.70x = 460,839.15 × 149,459.70
  4. Step 4: Simplify right side
    307,571.70x = 68,876,881,107.26
  5. Step 5: Solve for x
    x = 68,876,881,107.26/307,571.70
  6. Step 6: Final answer
    x = 223,937.64

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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.