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Finding the Fourth Proportional to 557,102.62, 768,849.20 and 315,427.78

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Solution

The fourth proportional to 557,102.62, 768,849.20 and 315,427.78 is: 435,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,102.62 : 768,849.20 = 315,427.78 : x
  2. Step 2: Convert to fraction form
    557,102.62/768,849.20 = 315,427.78/x
  3. Step 3: Cross multiply
    557,102.62x = 768,849.20 × 315,427.78
  4. Step 4: Simplify right side
    557,102.62x = 242,516,396,310.78
  5. Step 5: Solve for x
    x = 242,516,396,310.78/557,102.62
  6. Step 6: Final answer
    x = 435,317.28

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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.