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Finding the Fourth Proportional to 557,425.92, 769,262.08 and 302,791.68

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Solution

The fourth proportional to 557,425.92, 769,262.08 and 302,791.68 is: 417,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,425.92 : 769,262.08 = 302,791.68 : x
  2. Step 2: Convert to fraction form
    557,425.92/769,262.08 = 302,791.68/x
  3. Step 3: Cross multiply
    557,425.92x = 769,262.08 × 302,791.68
  4. Step 4: Simplify right side
    557,425.92x = 232,926,157,563.49
  5. Step 5: Solve for x
    x = 232,926,157,563.49/557,425.92
  6. Step 6: Final answer
    x = 417,860.29

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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.