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Finding the Fourth Proportional to 664,000, 996,008.64 and 220,768

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Solution

The fourth proportional to 664,000, 996,008.64 and 220,768 is: 331,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,000 : 996,008.64 = 220,768 : x
  2. Step 2: Convert to fraction form
    664,000/996,008.64 = 220,768/x
  3. Step 3: Cross multiply
    664,000x = 996,008.64 × 220,768
  4. Step 4: Simplify right side
    664,000x = 219,886,835,435.52
  5. Step 5: Solve for x
    x = 219,886,835,435.52/664,000
  6. Step 6: Final answer
    x = 331,154.87

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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.