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Finding the Fourth Proportional to 442,939.30, 664,408.95 and 309,969.70

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Solution

The fourth proportional to 442,939.30, 664,408.95 and 309,969.70 is: 464,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,939.30 : 664,408.95 = 309,969.70 : x
  2. Step 2: Convert to fraction form
    442,939.30/664,408.95 = 309,969.70/x
  3. Step 3: Cross multiply
    442,939.30x = 664,408.95 × 309,969.70
  4. Step 4: Simplify right side
    442,939.30x = 205,946,642,908.82
  5. Step 5: Solve for x
    x = 205,946,642,908.82/442,939.30
  6. Step 6: Final answer
    x = 464,954.55

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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.