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Finding the Fourth Proportional to 643,772.27, 965,695.32 and 170,445.33

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Solution

The fourth proportional to 643,772.27, 965,695.32 and 170,445.33 is: 255,677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,772.27 : 965,695.32 = 170,445.33 : x
  2. Step 2: Convert to fraction form
    643,772.27/965,695.32 = 170,445.33/x
  3. Step 3: Cross multiply
    643,772.27x = 965,695.32 × 170,445.33
  4. Step 4: Simplify right side
    643,772.27x = 164,598,257,496.86
  5. Step 5: Solve for x
    x = 164,598,257,496.86/643,772.27
  6. Step 6: Final answer
    x = 255,677.77

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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.