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Finding the Fourth Proportional to 339,940.80, 509,911.20 and 286,796.70

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Solution

The fourth proportional to 339,940.80, 509,911.20 and 286,796.70 is: 430,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,940.80 : 509,911.20 = 286,796.70 : x
  2. Step 2: Convert to fraction form
    339,940.80/509,911.20 = 286,796.70/x
  3. Step 3: Cross multiply
    339,940.80x = 509,911.20 × 286,796.70
  4. Step 4: Simplify right side
    339,940.80x = 146,240,849,453.04
  5. Step 5: Solve for x
    x = 146,240,849,453.04/339,940.80
  6. Step 6: Final answer
    x = 430,195.05

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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.