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Finding the Fourth Proportional to 311,590.14, 467,198.43 and 142,899.18

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Solution

The fourth proportional to 311,590.14, 467,198.43 and 142,899.18 is: 214,263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,590.14 : 467,198.43 = 142,899.18 : x
  2. Step 2: Convert to fraction form
    311,590.14/467,198.43 = 142,899.18/x
  3. Step 3: Cross multiply
    311,590.14x = 467,198.43 × 142,899.18
  4. Step 4: Simplify right side
    311,590.14x = 66,762,272,544.29
  5. Step 5: Solve for x
    x = 66,762,272,544.29/311,590.14
  6. Step 6: Final answer
    x = 214,263.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.