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Finding the Fourth Proportional to 412,085.76, 620,936.67 and 338,846.64

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Solution

The fourth proportional to 412,085.76, 620,936.67 and 338,846.64 is: 510,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,085.76 : 620,936.67 = 338,846.64 : x
  2. Step 2: Convert to fraction form
    412,085.76/620,936.67 = 338,846.64/x
  3. Step 3: Cross multiply
    412,085.76x = 620,936.67 × 338,846.64
  4. Step 4: Simplify right side
    412,085.76x = 210,402,304,282.29
  5. Step 5: Solve for x
    x = 210,402,304,282.29/412,085.76
  6. Step 6: Final answer
    x = 510,578.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.