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Finding the Fourth Proportional to 419,178.24, 626,835.93 and 311,311.29

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Solution

The fourth proportional to 419,178.24, 626,835.93 and 311,311.29 is: 465,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,178.24 : 626,835.93 = 311,311.29 : x
  2. Step 2: Convert to fraction form
    419,178.24/626,835.93 = 311,311.29/x
  3. Step 3: Cross multiply
    419,178.24x = 626,835.93 × 311,311.29
  4. Step 4: Simplify right side
    419,178.24x = 195,141,101,986.65
  5. Step 5: Solve for x
    x = 195,141,101,986.65/419,178.24
  6. Step 6: Final answer
    x = 465,532.52

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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.