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Finding the Fourth Proportional to 311,754.72, 430,221.42 and 168,514.68

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Solution

The fourth proportional to 311,754.72, 430,221.42 and 168,514.68 is: 232,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,754.72 : 430,221.42 = 168,514.68 : x
  2. Step 2: Convert to fraction form
    311,754.72/430,221.42 = 168,514.68/x
  3. Step 3: Cross multiply
    311,754.72x = 430,221.42 × 168,514.68
  4. Step 4: Simplify right side
    311,754.72x = 72,498,624,920.45
  5. Step 5: Solve for x
    x = 72,498,624,920.45/311,754.72
  6. Step 6: Final answer
    x = 232,550.21

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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.