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Finding the Fourth Proportional to 705,104.97, 973,105.10 and 399,235.24

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Solution

The fourth proportional to 705,104.97, 973,105.10 and 399,235.24 is: 550,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,104.97 : 973,105.10 = 399,235.24 : x
  2. Step 2: Convert to fraction form
    705,104.97/973,105.10 = 399,235.24/x
  3. Step 3: Cross multiply
    705,104.97x = 973,105.10 × 399,235.24
  4. Step 4: Simplify right side
    705,104.97x = 388,497,848,143.72
  5. Step 5: Solve for x
    x = 388,497,848,143.72/705,104.97
  6. Step 6: Final answer
    x = 550,978.74

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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.