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Finding the Fourth Proportional to 455,785.86, 629,021.31 and 251,854.66

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Solution

The fourth proportional to 455,785.86, 629,021.31 and 251,854.66 is: 347,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,785.86 : 629,021.31 = 251,854.66 : x
  2. Step 2: Convert to fraction form
    455,785.86/629,021.31 = 251,854.66/x
  3. Step 3: Cross multiply
    455,785.86x = 629,021.31 × 251,854.66
  4. Step 4: Simplify right side
    455,785.86x = 158,421,948,162.81
  5. Step 5: Solve for x
    x = 158,421,948,162.81/455,785.86
  6. Step 6: Final answer
    x = 347,579.78

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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.