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Finding the Fourth Proportional to 311,428.81, 429,771.70 and 168,188.82

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Solution

The fourth proportional to 311,428.81, 429,771.70 and 168,188.82 is: 232,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,428.81 : 429,771.70 = 168,188.82 : x
  2. Step 2: Convert to fraction form
    311,428.81/429,771.70 = 168,188.82/x
  3. Step 3: Cross multiply
    311,428.81x = 429,771.70 × 168,188.82
  4. Step 4: Simplify right side
    311,428.81x = 72,282,795,092.39
  5. Step 5: Solve for x
    x = 72,282,795,092.39/311,428.81
  6. Step 6: Final answer
    x = 232,100.54

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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.