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Finding the Fourth Proportional to 557,218.20, 768,986.92 and 315,468.84

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Solution

The fourth proportional to 557,218.20, 768,986.92 and 315,468.84 is: 435,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,218.20 : 768,986.92 = 315,468.84 : x
  2. Step 2: Convert to fraction form
    557,218.20/768,986.92 = 315,468.84/x
  3. Step 3: Cross multiply
    557,218.20x = 768,986.92 × 315,468.84
  4. Step 4: Simplify right side
    557,218.20x = 242,591,411,627.57
  5. Step 5: Solve for x
    x = 242,591,411,627.57/557,218.20
  6. Step 6: Final answer
    x = 435,361.61

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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.