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Finding the Fourth Proportional to 311,740.43, 430,201.53 and 168,500.47

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Solution

The fourth proportional to 311,740.43, 430,201.53 and 168,500.47 is: 232,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,740.43 : 430,201.53 = 168,500.47 : x
  2. Step 2: Convert to fraction form
    311,740.43/430,201.53 = 168,500.47/x
  3. Step 3: Cross multiply
    311,740.43x = 430,201.53 × 168,500.47
  4. Step 4: Simplify right side
    311,740.43x = 72,489,161,169.35
  5. Step 5: Solve for x
    x = 72,489,161,169.35/311,740.43
  6. Step 6: Final answer
    x = 232,530.51

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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.