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Finding the Fourth Proportional to 557,003.85, 768,664.65 and 302,355.03

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Solution

The fourth proportional to 557,003.85, 768,664.65 and 302,355.03 is: 417,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,003.85 : 768,664.65 = 302,355.03 : x
  2. Step 2: Convert to fraction form
    557,003.85/768,664.65 = 302,355.03/x
  3. Step 3: Cross multiply
    557,003.85x = 768,664.65 × 302,355.03
  4. Step 4: Simplify right side
    557,003.85x = 232,409,623,310.69
  5. Step 5: Solve for x
    x = 232,409,623,310.69/557,003.85
  6. Step 6: Final answer
    x = 417,249.58

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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.