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Finding the Fourth Proportional to 456,071.42, 629,378.16 and 274,791

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Solution

The fourth proportional to 456,071.42, 629,378.16 and 274,791 is: 379,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,071.42 : 629,378.16 = 274,791 : x
  2. Step 2: Convert to fraction form
    456,071.42/629,378.16 = 274,791/x
  3. Step 3: Cross multiply
    456,071.42x = 629,378.16 × 274,791
  4. Step 4: Simplify right side
    456,071.42x = 172,947,453,964.56
  5. Step 5: Solve for x
    x = 172,947,453,964.56/456,071.42
  6. Step 6: Final answer
    x = 379,211.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.