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Finding the Fourth Proportional to 442,956.20, 664,434.30 and 323,983.40

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Solution

The fourth proportional to 442,956.20, 664,434.30 and 323,983.40 is: 485,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,956.20 : 664,434.30 = 323,983.40 : x
  2. Step 2: Convert to fraction form
    442,956.20/664,434.30 = 323,983.40/x
  3. Step 3: Cross multiply
    442,956.20x = 664,434.30 × 323,983.40
  4. Step 4: Simplify right side
    442,956.20x = 215,265,683,590.62
  5. Step 5: Solve for x
    x = 215,265,683,590.62/442,956.20
  6. Step 6: Final answer
    x = 485,975.10

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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.