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Finding the Fourth Proportional to 479,786.82, 719,680.14 and 142,832.40

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Solution

The fourth proportional to 479,786.82, 719,680.14 and 142,832.40 is: 214,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,786.82 : 719,680.14 = 142,832.40 : x
  2. Step 2: Convert to fraction form
    479,786.82/719,680.14 = 142,832.40/x
  3. Step 3: Cross multiply
    479,786.82x = 719,680.14 × 142,832.40
  4. Step 4: Simplify right side
    479,786.82x = 102,793,641,628.54
  5. Step 5: Solve for x
    x = 102,793,641,628.54/479,786.82
  6. Step 6: Final answer
    x = 214,248.57

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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.