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Finding the Fourth Proportional to 587,558.07, 811,078.16 and 396,829.80

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Solution

The fourth proportional to 587,558.07, 811,078.16 and 396,829.80 is: 547,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,558.07 : 811,078.16 = 396,829.80 : x
  2. Step 2: Convert to fraction form
    587,558.07/811,078.16 = 396,829.80/x
  3. Step 3: Cross multiply
    587,558.07x = 811,078.16 × 396,829.80
  4. Step 4: Simplify right side
    587,558.07x = 321,859,982,033.02
  5. Step 5: Solve for x
    x = 321,859,982,033.02/587,558.07
  6. Step 6: Final answer
    x = 547,792.63

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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.