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Finding the Fourth Proportional to 442,806.20, 664,209.30 and 143,308.70

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Solution

The fourth proportional to 442,806.20, 664,209.30 and 143,308.70 is: 214,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,806.20 : 664,209.30 = 143,308.70 : x
  2. Step 2: Convert to fraction form
    442,806.20/664,209.30 = 143,308.70/x
  3. Step 3: Cross multiply
    442,806.20x = 664,209.30 × 143,308.70
  4. Step 4: Simplify right side
    442,806.20x = 95,186,971,310.91
  5. Step 5: Solve for x
    x = 95,186,971,310.91/442,806.20
  6. Step 6: Final answer
    x = 214,963.05

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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.