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Finding the Fourth Proportional to 437,678.80, 656,518.20 and 142,190.80

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Solution

The fourth proportional to 437,678.80, 656,518.20 and 142,190.80 is: 213,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,678.80 : 656,518.20 = 142,190.80 : x
  2. Step 2: Convert to fraction form
    437,678.80/656,518.20 = 142,190.80/x
  3. Step 3: Cross multiply
    437,678.80x = 656,518.20 × 142,190.80
  4. Step 4: Simplify right side
    437,678.80x = 93,350,848,072.56
  5. Step 5: Solve for x
    x = 93,350,848,072.56/437,678.80
  6. Step 6: Final answer
    x = 213,286.20

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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.