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Finding the Fourth Proportional to 339,359.40, 509,096.70 and 102,700.20

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Solution

The fourth proportional to 339,359.40, 509,096.70 and 102,700.20 is: 154,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,359.40 : 509,096.70 = 102,700.20 : x
  2. Step 2: Convert to fraction form
    339,359.40/509,096.70 = 102,700.20/x
  3. Step 3: Cross multiply
    339,359.40x = 509,096.70 × 102,700.20
  4. Step 4: Simplify right side
    339,359.40x = 52,284,332,909.34
  5. Step 5: Solve for x
    x = 52,284,332,909.34/339,359.40
  6. Step 6: Final answer
    x = 154,067.73

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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.