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Finding the Fourth Proportional to 304,817.60, 457,382 and 147,180.80

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Solution

The fourth proportional to 304,817.60, 457,382 and 147,180.80 is: 220,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,817.60 : 457,382 = 147,180.80 : x
  2. Step 2: Convert to fraction form
    304,817.60/457,382 = 147,180.80/x
  3. Step 3: Cross multiply
    304,817.60x = 457,382 × 147,180.80
  4. Step 4: Simplify right side
    304,817.60x = 67,317,848,665.60
  5. Step 5: Solve for x
    x = 67,317,848,665.60/304,817.60
  6. Step 6: Final answer
    x = 220,846.33

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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.