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Finding the Fourth Proportional to 442,757.48, 664,133.94 and 172,913

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Solution

The fourth proportional to 442,757.48, 664,133.94 and 172,913 is: 259,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,757.48 : 664,133.94 = 172,913 : x
  2. Step 2: Convert to fraction form
    442,757.48/664,133.94 = 172,913/x
  3. Step 3: Cross multiply
    442,757.48x = 664,133.94 × 172,913
  4. Step 4: Simplify right side
    442,757.48x = 114,837,391,967.22
  5. Step 5: Solve for x
    x = 114,837,391,967.22/442,757.48
  6. Step 6: Final answer
    x = 259,368.61

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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.