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Finding the Fourth Proportional to 311,563.68, 429,958.08 and 168,323.64

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Solution

The fourth proportional to 311,563.68, 429,958.08 and 168,323.64 is: 232,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,563.68 : 429,958.08 = 168,323.64 : x
  2. Step 2: Convert to fraction form
    311,563.68/429,958.08 = 168,323.64/x
  3. Step 3: Cross multiply
    311,563.68x = 429,958.08 × 168,323.64
  4. Step 4: Simplify right side
    311,563.68x = 72,372,109,073.01
  5. Step 5: Solve for x
    x = 72,372,109,073.01/311,563.68
  6. Step 6: Final answer
    x = 232,286.73

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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.