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Finding the Fourth Proportional to 557,101.62, 768,847.82 and 315,426.78

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Solution

The fourth proportional to 557,101.62, 768,847.82 and 315,426.78 is: 435,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,101.62 : 768,847.82 = 315,426.78 : x
  2. Step 2: Convert to fraction form
    557,101.62/768,847.82 = 315,426.78/x
  3. Step 3: Cross multiply
    557,101.62x = 768,847.82 × 315,426.78
  4. Step 4: Simplify right side
    557,101.62x = 242,515,190,595.49
  5. Step 5: Solve for x
    x = 242,515,190,595.49/557,101.62
  6. Step 6: Final answer
    x = 435,315.90

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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.