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Finding the Fourth Proportional to 339,967.40, 509,951.10 and 306,141.80

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Solution

The fourth proportional to 339,967.40, 509,951.10 and 306,141.80 is: 459,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,967.40 : 509,951.10 = 306,141.80 : x
  2. Step 2: Convert to fraction form
    339,967.40/509,951.10 = 306,141.80/x
  3. Step 3: Cross multiply
    339,967.40x = 509,951.10 × 306,141.80
  4. Step 4: Simplify right side
    339,967.40x = 156,117,347,665.98
  5. Step 5: Solve for x
    x = 156,117,347,665.98/339,967.40
  6. Step 6: Final answer
    x = 459,212.70

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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.