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Finding the Fourth Proportional to 643,910.60, 965,477.10 and 288,858.44

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Solution

The fourth proportional to 643,910.60, 965,477.10 and 288,858.44 is: 433,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,910.60 : 965,477.10 = 288,858.44 : x
  2. Step 2: Convert to fraction form
    643,910.60/965,477.10 = 288,858.44/x
  3. Step 3: Cross multiply
    643,910.60x = 965,477.10 × 288,858.44
  4. Step 4: Simplify right side
    643,910.60x = 278,886,208,961.72
  5. Step 5: Solve for x
    x = 278,886,208,961.72/643,910.60
  6. Step 6: Final answer
    x = 433,113.24

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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.