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Finding the Fourth Proportional to 361,998.46, 497,786.40 and 314,168.77

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Solution

The fourth proportional to 361,998.46, 497,786.40 and 314,168.77 is: 432,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,998.46 : 497,786.40 = 314,168.77 : x
  2. Step 2: Convert to fraction form
    361,998.46/497,786.40 = 314,168.77/x
  3. Step 3: Cross multiply
    361,998.46x = 497,786.40 × 314,168.77
  4. Step 4: Simplify right side
    361,998.46x = 156,388,941,010.73
  5. Step 5: Solve for x
    x = 156,388,941,010.73/361,998.46
  6. Step 6: Final answer
    x = 432,015.49

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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.