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Finding the Fourth Proportional to 643,909.60, 965,475.60 and 288,857.44

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Solution

The fourth proportional to 643,909.60, 965,475.60 and 288,857.44 is: 433,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,909.60 : 965,475.60 = 288,857.44 : x
  2. Step 2: Convert to fraction form
    643,909.60/965,475.60 = 288,857.44/x
  3. Step 3: Cross multiply
    643,909.60x = 965,475.60 × 288,857.44
  4. Step 4: Simplify right side
    643,909.60x = 278,884,810,198.46
  5. Step 5: Solve for x
    x = 278,884,810,198.46/643,909.60
  6. Step 6: Final answer
    x = 433,111.74

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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.