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Finding the Fourth Proportional to 643,761.20, 965,641.80 and 377,649.20

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Solution

The fourth proportional to 643,761.20, 965,641.80 and 377,649.20 is: 566,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,761.20 : 965,641.80 = 377,649.20 : x
  2. Step 2: Convert to fraction form
    643,761.20/965,641.80 = 377,649.20/x
  3. Step 3: Cross multiply
    643,761.20x = 965,641.80 × 377,649.20
  4. Step 4: Simplify right side
    643,761.20x = 364,673,853,256.56
  5. Step 5: Solve for x
    x = 364,673,853,256.56/643,761.20
  6. Step 6: Final answer
    x = 566,473.80

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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.