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Finding the Fourth Proportional to 382,143.82, 573,228.48 and 171,782.38

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Solution

The fourth proportional to 382,143.82, 573,228.48 and 171,782.38 is: 257,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,143.82 : 573,228.48 = 171,782.38 : x
  2. Step 2: Convert to fraction form
    382,143.82/573,228.48 = 171,782.38/x
  3. Step 3: Cross multiply
    382,143.82x = 573,228.48 × 171,782.38
  4. Step 4: Simplify right side
    382,143.82x = 98,470,552,578.18
  5. Step 5: Solve for x
    x = 98,470,552,578.18/382,143.82
  6. Step 6: Final answer
    x = 257,679.30

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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.