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Finding the Fourth Proportional to 557,101.92, 768,818.28 and 315,380.10

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Solution

The fourth proportional to 557,101.92, 768,818.28 and 315,380.10 is: 435,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,101.92 : 768,818.28 = 315,380.10 : x
  2. Step 2: Convert to fraction form
    557,101.92/768,818.28 = 315,380.10/x
  3. Step 3: Cross multiply
    557,101.92x = 768,818.28 × 315,380.10
  4. Step 4: Simplify right side
    557,101.92x = 242,469,986,028.23
  5. Step 5: Solve for x
    x = 242,469,986,028.23/557,101.92
  6. Step 6: Final answer
    x = 435,234.52

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1.5x scale

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.