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Finding the Fourth Proportional to 511,478.43, 767,438.91 and 274,544.52

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Solution

The fourth proportional to 511,478.43, 767,438.91 and 274,544.52 is: 411,935.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,478.43 : 767,438.91 = 274,544.52 : x
  2. Step 2: Convert to fraction form
    511,478.43/767,438.91 = 274,544.52/x
  3. Step 3: Cross multiply
    511,478.43x = 767,438.91 × 274,544.52
  4. Step 4: Simplify right side
    511,478.43x = 210,696,147,175.27
  5. Step 5: Solve for x
    x = 210,696,147,175.27/511,478.43
  6. Step 6: Final answer
    x = 411,935.55

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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.