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Finding the Fourth Proportional to 591,890, 816,808.20 and 323,618

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Solution

The fourth proportional to 591,890, 816,808.20 and 323,618 is: 446,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,890 : 816,808.20 = 323,618 : x
  2. Step 2: Convert to fraction form
    591,890/816,808.20 = 323,618/x
  3. Step 3: Cross multiply
    591,890x = 816,808.20 × 323,618
  4. Step 4: Simplify right side
    591,890x = 264,333,836,067.60
  5. Step 5: Solve for x
    x = 264,333,836,067.60/591,890
  6. Step 6: Final answer
    x = 446,592.84

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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.