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Finding the Fourth Proportional to 643,774.27, 965,698.32 and 170,447.33

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Solution

The fourth proportional to 643,774.27, 965,698.32 and 170,447.33 is: 255,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,774.27 : 965,698.32 = 170,447.33 : x
  2. Step 2: Convert to fraction form
    643,774.27/965,698.32 = 170,447.33/x
  3. Step 3: Cross multiply
    643,774.27x = 965,698.32 × 170,447.33
  4. Step 4: Simplify right side
    643,774.27x = 164,600,700,229.49
  5. Step 5: Solve for x
    x = 164,600,700,229.49/643,774.27
  6. Step 6: Final answer
    x = 255,680.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.