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Finding the Fourth Proportional to 339,942.80, 509,914.20 and 286,798.70

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Solution

The fourth proportional to 339,942.80, 509,914.20 and 286,798.70 is: 430,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,942.80 : 509,914.20 = 286,798.70 : x
  2. Step 2: Convert to fraction form
    339,942.80/509,914.20 = 286,798.70/x
  3. Step 3: Cross multiply
    339,942.80x = 509,914.20 × 286,798.70
  4. Step 4: Simplify right side
    339,942.80x = 146,242,729,671.54
  5. Step 5: Solve for x
    x = 146,242,729,671.54/339,942.80
  6. Step 6: Final answer
    x = 430,198.05

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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.