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Finding the Fourth Proportional to 664,644.80, 996,967.20 and 384,708.80

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Solution

The fourth proportional to 664,644.80, 996,967.20 and 384,708.80 is: 577,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,644.80 : 996,967.20 = 384,708.80 : x
  2. Step 2: Convert to fraction form
    664,644.80/996,967.20 = 384,708.80/x
  3. Step 3: Cross multiply
    664,644.80x = 996,967.20 × 384,708.80
  4. Step 4: Simplify right side
    664,644.80x = 383,542,055,151.36
  5. Step 5: Solve for x
    x = 383,542,055,151.36/664,644.80
  6. Step 6: Final answer
    x = 577,063.20

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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.