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Finding the Fourth Proportional to 311,190.42, 429,451.29 and 190,329.51

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Solution

The fourth proportional to 311,190.42, 429,451.29 and 190,329.51 is: 262,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,190.42 : 429,451.29 = 190,329.51 : x
  2. Step 2: Convert to fraction form
    311,190.42/429,451.29 = 190,329.51/x
  3. Step 3: Cross multiply
    311,190.42x = 429,451.29 × 190,329.51
  4. Step 4: Simplify right side
    311,190.42x = 81,737,253,594.57
  5. Step 5: Solve for x
    x = 81,737,253,594.57/311,190.42
  6. Step 6: Final answer
    x = 262,659.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.