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Finding the Fourth Proportional to 442,665.63, 663,815.14 and 138,958.31

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Solution

The fourth proportional to 442,665.63, 663,815.14 and 138,958.31 is: 208,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,665.63 : 663,815.14 = 138,958.31 : x
  2. Step 2: Convert to fraction form
    442,665.63/663,815.14 = 138,958.31/x
  3. Step 3: Cross multiply
    442,665.63x = 663,815.14 × 138,958.31
  4. Step 4: Simplify right side
    442,665.63x = 92,242,626,340.34
  5. Step 5: Solve for x
    x = 92,242,626,340.34/442,665.63
  6. Step 6: Final answer
    x = 208,379.91

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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.