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Finding the Fourth Proportional to 643,911.60, 965,478.60 and 288,859.44

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Solution

The fourth proportional to 643,911.60, 965,478.60 and 288,859.44 is: 433,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,911.60 : 965,478.60 = 288,859.44 : x
  2. Step 2: Convert to fraction form
    643,911.60/965,478.60 = 288,859.44/x
  3. Step 3: Cross multiply
    643,911.60x = 965,478.60 × 288,859.44
  4. Step 4: Simplify right side
    643,911.60x = 278,887,607,727.98
  5. Step 5: Solve for x
    x = 278,887,607,727.98/643,911.60
  6. Step 6: Final answer
    x = 433,114.74

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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.