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Finding the Fourth Proportional to 339,842.64, 509,825.16 and 277,218

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Solution

The fourth proportional to 339,842.64, 509,825.16 and 277,218 is: 415,876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,842.64 : 509,825.16 = 277,218 : x
  2. Step 2: Convert to fraction form
    339,842.64/509,825.16 = 277,218/x
  3. Step 3: Cross multiply
    339,842.64x = 509,825.16 × 277,218
  4. Step 4: Simplify right side
    339,842.64x = 141,332,711,204.88
  5. Step 5: Solve for x
    x = 141,332,711,204.88/339,842.64
  6. Step 6: Final answer
    x = 415,876.92

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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.