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Finding the Fourth Proportional to 557,090.60, 768,793.48 and 302,441.78

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Solution

The fourth proportional to 557,090.60, 768,793.48 and 302,441.78 is: 417,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,090.60 : 768,793.48 = 302,441.78 : x
  2. Step 2: Convert to fraction form
    557,090.60/768,793.48 = 302,441.78/x
  3. Step 3: Cross multiply
    557,090.60x = 768,793.48 × 302,441.78
  4. Step 4: Simplify right side
    557,090.60x = 232,515,269,709.47
  5. Step 5: Solve for x
    x = 232,515,269,709.47/557,090.60
  6. Step 6: Final answer
    x = 417,374.25

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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.