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Finding the Fourth Proportional to 442,754.48, 664,129.44 and 172,910

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Solution

The fourth proportional to 442,754.48, 664,129.44 and 172,910 is: 259,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,754.48 : 664,129.44 = 172,910 : x
  2. Step 2: Convert to fraction form
    442,754.48/664,129.44 = 172,910/x
  3. Step 3: Cross multiply
    442,754.48x = 664,129.44 × 172,910
  4. Step 4: Simplify right side
    442,754.48x = 114,834,621,470.40
  5. Step 5: Solve for x
    x = 114,834,621,470.40/442,754.48
  6. Step 6: Final answer
    x = 259,364.11

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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.