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Finding the Fourth Proportional to 420,015.94, 629,770.56 and 167,335.42

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Solution

The fourth proportional to 420,015.94, 629,770.56 and 167,335.42 is: 250,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,015.94 : 629,770.56 = 167,335.42 : x
  2. Step 2: Convert to fraction form
    420,015.94/629,770.56 = 167,335.42/x
  3. Step 3: Cross multiply
    420,015.94x = 629,770.56 × 167,335.42
  4. Step 4: Simplify right side
    420,015.94x = 105,382,921,161.24
  5. Step 5: Solve for x
    x = 105,382,921,161.24/420,015.94
  6. Step 6: Final answer
    x = 250,902.19

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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.