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Finding the Fourth Proportional to 442,964.20, 664,446.30 and 265,379.80

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Solution

The fourth proportional to 442,964.20, 664,446.30 and 265,379.80 is: 398,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,964.20 : 664,446.30 = 265,379.80 : x
  2. Step 2: Convert to fraction form
    442,964.20/664,446.30 = 265,379.80/x
  3. Step 3: Cross multiply
    442,964.20x = 664,446.30 × 265,379.80
  4. Step 4: Simplify right side
    442,964.20x = 176,330,626,204.74
  5. Step 5: Solve for x
    x = 176,330,626,204.74/442,964.20
  6. Step 6: Final answer
    x = 398,069.70

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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.