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Finding the Fourth Proportional to 491,522.10, 678,257.22 and 273,714.31

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Solution

The fourth proportional to 491,522.10, 678,257.22 and 273,714.31 is: 377,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,522.10 : 678,257.22 = 273,714.31 : x
  2. Step 2: Convert to fraction form
    491,522.10/678,257.22 = 273,714.31/x
  3. Step 3: Cross multiply
    491,522.10x = 678,257.22 × 273,714.31
  4. Step 4: Simplify right side
    491,522.10x = 185,648,708,849.07
  5. Step 5: Solve for x
    x = 185,648,708,849.07/491,522.10
  6. Step 6: Final answer
    x = 377,701.65

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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.