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Finding the Fourth Proportional to 851,791, 1,277,902.50 and 319,313.56

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Solution

The fourth proportional to 851,791, 1,277,902.50 and 319,313.56 is: 479,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,791 : 1,277,902.50 = 319,313.56 : x
  2. Step 2: Convert to fraction form
    851,791/1,277,902.50 = 319,313.56/x
  3. Step 3: Cross multiply
    851,791x = 1,277,902.50 × 319,313.56
  4. Step 4: Simplify right side
    851,791x = 408,051,596,607.90
  5. Step 5: Solve for x
    x = 408,051,596,607.90/851,791
  6. Step 6: Final answer
    x = 479,051.31

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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.