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Finding the Fourth Proportional to 587,644.38, 811,122.54 and 383,727

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Solution

The fourth proportional to 587,644.38, 811,122.54 and 383,727 is: 529,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,644.38 : 811,122.54 = 383,727 : x
  2. Step 2: Convert to fraction form
    587,644.38/811,122.54 = 383,727/x
  3. Step 3: Cross multiply
    587,644.38x = 811,122.54 × 383,727
  4. Step 4: Simplify right side
    587,644.38x = 311,249,618,906.58
  5. Step 5: Solve for x
    x = 311,249,618,906.58/587,644.38
  6. Step 6: Final answer
    x = 529,656.42

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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.