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Finding the Fourth Proportional to 551,046.66, 825,781.35 and 313,899.30

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Solution

The fourth proportional to 551,046.66, 825,781.35 and 313,899.30 is: 470,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,046.66 : 825,781.35 = 313,899.30 : x
  2. Step 2: Convert to fraction form
    551,046.66/825,781.35 = 313,899.30/x
  3. Step 3: Cross multiply
    551,046.66x = 825,781.35 × 313,899.30
  4. Step 4: Simplify right side
    551,046.66x = 259,212,187,718.06
  5. Step 5: Solve for x
    x = 259,212,187,718.06/551,046.66
  6. Step 6: Final answer
    x = 470,399.71

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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.