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Finding the Fourth Proportional to 456,375.46, 629,605.29 and 305,521.06

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Solution

The fourth proportional to 456,375.46, 629,605.29 and 305,521.06 is: 421,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,375.46 : 629,605.29 = 305,521.06 : x
  2. Step 2: Convert to fraction form
    456,375.46/629,605.29 = 305,521.06/x
  3. Step 3: Cross multiply
    456,375.46x = 629,605.29 × 305,521.06
  4. Step 4: Simplify right side
    456,375.46x = 192,357,675,582.41
  5. Step 5: Solve for x
    x = 192,357,675,582.41/456,375.46
  6. Step 6: Final answer
    x = 421,489.96

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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.