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Finding the Fourth Proportional to 378,789,613.16, 522,673,620.90 and 230,033,373.80

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Solution

The fourth proportional to 378,789,613.16, 522,673,620.90 and 230,033,373.80 is: 317,412,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,789,613.16 : 522,673,620.90 = 230,033,373.80 : x
  2. Step 2: Convert to fraction form
    378,789,613.16/522,673,620.90 = 230,033,373.80/x
  3. Step 3: Cross multiply
    378,789,613.16x = 522,673,620.90 × 230,033,373.80
  4. Step 4: Simplify right side
    378,789,613.16x = 120,232,376,411,889,200
  5. Step 5: Solve for x
    x = 120,232,376,411,889,200/378,789,613.16
  6. Step 6: Final answer
    x = 317,412,020.38

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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.