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Finding the Fourth Proportional to 415,706.20, 622,002.30 and 296,039.80

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Solution

The fourth proportional to 415,706.20, 622,002.30 and 296,039.80 is: 442,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,706.20 : 622,002.30 = 296,039.80 : x
  2. Step 2: Convert to fraction form
    415,706.20/622,002.30 = 296,039.80/x
  3. Step 3: Cross multiply
    415,706.20x = 622,002.30 × 296,039.80
  4. Step 4: Simplify right side
    415,706.20x = 184,137,436,491.54
  5. Step 5: Solve for x
    x = 184,137,436,491.54/415,706.20
  6. Step 6: Final answer
    x = 442,950.90

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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.