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Finding the Fourth Proportional to 511,438.39, 767,085.90 and 271,446.73

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Solution

The fourth proportional to 511,438.39, 767,085.90 and 271,446.73 is: 407,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,438.39 : 767,085.90 = 271,446.73 : x
  2. Step 2: Convert to fraction form
    511,438.39/767,085.90 = 271,446.73/x
  3. Step 3: Cross multiply
    511,438.39x = 767,085.90 × 271,446.73
  4. Step 4: Simplify right side
    511,438.39x = 208,222,956,248.47
  5. Step 5: Solve for x
    x = 208,222,956,248.47/511,438.39
  6. Step 6: Final answer
    x = 407,132.04

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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.