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Finding the Fourth Proportional to 339,952.64, 509,485.49 and 140,071.78

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Solution

The fourth proportional to 339,952.64, 509,485.49 and 140,071.78 is: 209,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,952.64 : 509,485.49 = 140,071.78 : x
  2. Step 2: Convert to fraction form
    339,952.64/509,485.49 = 140,071.78/x
  3. Step 3: Cross multiply
    339,952.64x = 509,485.49 × 140,071.78
  4. Step 4: Simplify right side
    339,952.64x = 71,364,536,220.69
  5. Step 5: Solve for x
    x = 71,364,536,220.69/339,952.64
  6. Step 6: Final answer
    x = 209,924.94

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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.