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Finding the Fourth Proportional to 851,790, 1,277,901 and 319,312.56

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Solution

The fourth proportional to 851,790, 1,277,901 and 319,312.56 is: 479,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,790 : 1,277,901 = 319,312.56 : x
  2. Step 2: Convert to fraction form
    851,790/1,277,901 = 319,312.56/x
  3. Step 3: Cross multiply
    851,790x = 1,277,901 × 319,312.56
  4. Step 4: Simplify right side
    851,790x = 408,049,839,736.56
  5. Step 5: Solve for x
    x = 408,049,839,736.56/851,790
  6. Step 6: Final answer
    x = 479,049.81

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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.