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Finding the Fourth Proportional to 494,143.02, 681,990.51 and 312,871.77

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Solution

The fourth proportional to 494,143.02, 681,990.51 and 312,871.77 is: 431,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,143.02 : 681,990.51 = 312,871.77 : x
  2. Step 2: Convert to fraction form
    494,143.02/681,990.51 = 312,871.77/x
  3. Step 3: Cross multiply
    494,143.02x = 681,990.51 × 312,871.77
  4. Step 4: Simplify right side
    494,143.02x = 213,375,579,691.88
  5. Step 5: Solve for x
    x = 213,375,579,691.88/494,143.02
  6. Step 6: Final answer
    x = 431,809.35

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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.