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Finding the Fourth Proportional to 551,046.91, 825,781.73 and 313,899.55

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Solution

The fourth proportional to 551,046.91, 825,781.73 and 313,899.55 is: 470,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,046.91 : 825,781.73 = 313,899.55 : x
  2. Step 2: Convert to fraction form
    551,046.91/825,781.73 = 313,899.55/x
  3. Step 3: Cross multiply
    551,046.91x = 825,781.73 × 313,899.55
  4. Step 4: Simplify right side
    551,046.91x = 259,212,511,875.72
  5. Step 5: Solve for x
    x = 259,212,511,875.72/551,046.91
  6. Step 6: Final answer
    x = 470,400.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.