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Finding the Fourth Proportional to 413,506.46, 620,384.22 and 129,185.54

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Solution

The fourth proportional to 413,506.46, 620,384.22 and 129,185.54 is: 193,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,506.46 : 620,384.22 = 129,185.54 : x
  2. Step 2: Convert to fraction form
    413,506.46/620,384.22 = 129,185.54/x
  3. Step 3: Cross multiply
    413,506.46x = 620,384.22 × 129,185.54
  4. Step 4: Simplify right side
    413,506.46x = 80,144,670,468.18
  5. Step 5: Solve for x
    x = 80,144,670,468.18/413,506.46
  6. Step 6: Final answer
    x = 193,817.22

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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.