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Finding the Fourth Proportional to 378,789,609.66, 522,673,616.07 and 230,033,370.30

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Solution

The fourth proportional to 378,789,609.66, 522,673,616.07 and 230,033,370.30 is: 317,412,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,789,609.66 : 522,673,616.07 = 230,033,370.30 : x
  2. Step 2: Convert to fraction form
    378,789,609.66/522,673,616.07 = 230,033,370.30/x
  3. Step 3: Cross multiply
    378,789,609.66x = 522,673,616.07 × 230,033,370.30
  4. Step 4: Simplify right side
    378,789,609.66x = 120,232,373,471,470,352
  5. Step 5: Solve for x
    x = 120,232,373,471,470,352/378,789,609.66
  6. Step 6: Final answer
    x = 317,412,015.55

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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.