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Finding the Fourth Proportional to 419,562.09, 629,094.19 and 166,706.91

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Solution

The fourth proportional to 419,562.09, 629,094.19 and 166,706.91 is: 249,961.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,562.09 : 629,094.19 = 166,706.91 : x
  2. Step 2: Convert to fraction form
    419,562.09/629,094.19 = 166,706.91/x
  3. Step 3: Cross multiply
    419,562.09x = 629,094.19 × 166,706.91
  4. Step 4: Simplify right side
    419,562.09x = 104,874,348,513.85
  5. Step 5: Solve for x
    x = 104,874,348,513.85/419,562.09
  6. Step 6: Final answer
    x = 249,961.45

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1.5x scale

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.