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Finding the Fourth Proportional to 664,372, 916,882.64 and 377,984.35

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Solution

The fourth proportional to 664,372, 916,882.64 and 377,984.35 is: 521,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,372 : 916,882.64 = 377,984.35 : x
  2. Step 2: Convert to fraction form
    664,372/916,882.64 = 377,984.35/x
  3. Step 3: Cross multiply
    664,372x = 916,882.64 × 377,984.35
  4. Step 4: Simplify right side
    664,372x = 346,567,288,706.68
  5. Step 5: Solve for x
    x = 346,567,288,706.68/664,372
  6. Step 6: Final answer
    x = 521,646.44

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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.