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Finding the Fourth Proportional to 442,755.48, 664,130.94 and 172,911

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Solution

The fourth proportional to 442,755.48, 664,130.94 and 172,911 is: 259,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,755.48 : 664,130.94 = 172,911 : x
  2. Step 2: Convert to fraction form
    442,755.48/664,130.94 = 172,911/x
  3. Step 3: Cross multiply
    442,755.48x = 664,130.94 × 172,911
  4. Step 4: Simplify right side
    442,755.48x = 114,835,544,966.34
  5. Step 5: Solve for x
    x = 114,835,544,966.34/442,755.48
  6. Step 6: Final answer
    x = 259,365.61

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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.