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Finding the Fourth Proportional to 557,057.92, 768,739.89 and 302,409.11

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Solution

The fourth proportional to 557,057.92, 768,739.89 and 302,409.11 is: 417,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,057.92 : 768,739.89 = 302,409.11 : x
  2. Step 2: Convert to fraction form
    557,057.92/768,739.89 = 302,409.11/x
  3. Step 3: Cross multiply
    557,057.92x = 768,739.89 × 302,409.11
  4. Step 4: Simplify right side
    557,057.92x = 232,473,945,956.40
  5. Step 5: Solve for x
    x = 232,473,945,956.40/557,057.92
  6. Step 6: Final answer
    x = 417,324.55

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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.