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Finding the Fourth Proportional to 664,463.70, 996,987.15 and 309,294.90

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Solution

The fourth proportional to 664,463.70, 996,987.15 and 309,294.90 is: 464,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,463.70 : 996,987.15 = 309,294.90 : x
  2. Step 2: Convert to fraction form
    664,463.70/996,987.15 = 309,294.90/x
  3. Step 3: Cross multiply
    664,463.70x = 996,987.15 × 309,294.90
  4. Step 4: Simplify right side
    664,463.70x = 308,363,040,860.54
  5. Step 5: Solve for x
    x = 308,363,040,860.54/664,463.70
  6. Step 6: Final answer
    x = 464,078.08

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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.