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Finding the Fourth Proportional to 664,051.23, 916,434 and 377,597.97

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Solution

The fourth proportional to 664,051.23, 916,434 and 377,597.97 is: 521,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,051.23 : 916,434 = 377,597.97 : x
  2. Step 2: Convert to fraction form
    664,051.23/916,434 = 377,597.97/x
  3. Step 3: Cross multiply
    664,051.23x = 916,434 × 377,597.97
  4. Step 4: Simplify right side
    664,051.23x = 346,043,618,038.98
  5. Step 5: Solve for x
    x = 346,043,618,038.98/664,051.23
  6. Step 6: Final answer
    x = 521,109.82

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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.