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Finding the Fourth Proportional to 557,105.64, 768,793.86 and 302,454.60

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Solution

The fourth proportional to 557,105.64, 768,793.86 and 302,454.60 is: 417,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,105.64 : 768,793.86 = 302,454.60 : x
  2. Step 2: Convert to fraction form
    557,105.64/768,793.86 = 302,454.60/x
  3. Step 3: Cross multiply
    557,105.64x = 768,793.86 × 302,454.60
  4. Step 4: Simplify right side
    557,105.64x = 232,525,239,408.76
  5. Step 5: Solve for x
    x = 232,525,239,408.76/557,105.64
  6. Step 6: Final answer
    x = 417,380.87

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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.