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Finding the Fourth Proportional to 494,103.72, 681,612.74 and 312,509.82

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Solution

The fourth proportional to 494,103.72, 681,612.74 and 312,509.82 is: 431,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,103.72 : 681,612.74 = 312,509.82 : x
  2. Step 2: Convert to fraction form
    494,103.72/681,612.74 = 312,509.82/x
  3. Step 3: Cross multiply
    494,103.72x = 681,612.74 × 312,509.82
  4. Step 4: Simplify right side
    494,103.72x = 213,010,674,687.11
  5. Step 5: Solve for x
    x = 213,010,674,687.11/494,103.72
  6. Step 6: Final answer
    x = 431,105.18

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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.