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Finding the Fourth Proportional to 557,395.92, 769,203 and 302,744.88

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Solution

The fourth proportional to 557,395.92, 769,203 and 302,744.88 is: 417,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,395.92 : 769,203 = 302,744.88 : x
  2. Step 2: Convert to fraction form
    557,395.92/769,203 = 302,744.88/x
  3. Step 3: Cross multiply
    557,395.92x = 769,203 × 302,744.88
  4. Step 4: Simplify right side
    557,395.92x = 232,872,269,930.64
  5. Step 5: Solve for x
    x = 232,872,269,930.64/557,395.92
  6. Step 6: Final answer
    x = 417,786.10

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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.