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Finding the Fourth Proportional to 442,855.70, 664,348.35 and 143,285.30

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Solution

The fourth proportional to 442,855.70, 664,348.35 and 143,285.30 is: 214,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,855.70 : 664,348.35 = 143,285.30 : x
  2. Step 2: Convert to fraction form
    442,855.70/664,348.35 = 143,285.30/x
  3. Step 3: Cross multiply
    442,855.70x = 664,348.35 × 143,285.30
  4. Step 4: Simplify right side
    442,855.70x = 95,191,352,634.26
  5. Step 5: Solve for x
    x = 95,191,352,634.26/442,855.70
  6. Step 6: Final answer
    x = 214,948.92

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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.