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Finding the Fourth Proportional to 442,493.83, 663,744.58 and 142,974.44

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Solution

The fourth proportional to 442,493.83, 663,744.58 and 142,974.44 is: 214,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,493.83 : 663,744.58 = 142,974.44 : x
  2. Step 2: Convert to fraction form
    442,493.83/663,744.58 = 142,974.44/x
  3. Step 3: Cross multiply
    442,493.83x = 663,744.58 × 142,974.44
  4. Step 4: Simplify right side
    442,493.83x = 94,898,508,913.66
  5. Step 5: Solve for x
    x = 94,898,508,913.66/442,493.83
  6. Step 6: Final answer
    x = 214,462.90

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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.