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Finding the Fourth Proportional to 417,271.50, 626,012.15 and 192,790.80

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Solution

The fourth proportional to 417,271.50, 626,012.15 and 192,790.80 is: 289,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,271.50 : 626,012.15 = 192,790.80 : x
  2. Step 2: Convert to fraction form
    417,271.50/626,012.15 = 192,790.80/x
  3. Step 3: Cross multiply
    417,271.50x = 626,012.15 × 192,790.80
  4. Step 4: Simplify right side
    417,271.50x = 120,689,382,244.27
  5. Step 5: Solve for x
    x = 120,689,382,244.27/417,271.50
  6. Step 6: Final answer
    x = 289,234.66

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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.