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Finding the Fourth Proportional to 420,144.05, 629,893.01 and 217,522.96

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Solution

The fourth proportional to 420,144.05, 629,893.01 and 217,522.96 is: 326,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,144.05 : 629,893.01 = 217,522.96 : x
  2. Step 2: Convert to fraction form
    420,144.05/629,893.01 = 217,522.96/x
  3. Step 3: Cross multiply
    420,144.05x = 629,893.01 × 217,522.96
  4. Step 4: Simplify right side
    420,144.05x = 137,016,190,987.58
  5. Step 5: Solve for x
    x = 137,016,190,987.58/420,144.05
  6. Step 6: Final answer
    x = 326,117.17

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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.