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Finding the Fourth Proportional to 311,564.15, 429,958.74 and 168,324.14

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Solution

The fourth proportional to 311,564.15, 429,958.74 and 168,324.14 is: 232,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,564.15 : 429,958.74 = 168,324.14 : x
  2. Step 2: Convert to fraction form
    311,564.15/429,958.74 = 168,324.14/x
  3. Step 3: Cross multiply
    311,564.15x = 429,958.74 × 168,324.14
  4. Step 4: Simplify right side
    311,564.15x = 72,372,435,145.98
  5. Step 5: Solve for x
    x = 72,372,435,145.98/311,564.15
  6. Step 6: Final answer
    x = 232,287.43

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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.