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Finding the Fourth Proportional to 664,613.46, 917,082.54 and 378,138.33

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Solution

The fourth proportional to 664,613.46, 917,082.54 and 378,138.33 is: 521,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,613.46 : 917,082.54 = 378,138.33 : x
  2. Step 2: Convert to fraction form
    664,613.46/917,082.54 = 378,138.33/x
  3. Step 3: Cross multiply
    664,613.46x = 917,082.54 × 378,138.33
  4. Step 4: Simplify right side
    664,613.46x = 346,784,060,147.76
  5. Step 5: Solve for x
    x = 346,784,060,147.76/664,613.46
  6. Step 6: Final answer
    x = 521,783.08

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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.