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Finding the Fourth Proportional to 382,981.78, 574,735.08 and 133,663.78

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Solution

The fourth proportional to 382,981.78, 574,735.08 and 133,663.78 is: 200,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,981.78 : 574,735.08 = 133,663.78 : x
  2. Step 2: Convert to fraction form
    382,981.78/574,735.08 = 133,663.78/x
  3. Step 3: Cross multiply
    382,981.78x = 574,735.08 × 133,663.78
  4. Step 4: Simplify right side
    382,981.78x = 76,821,263,291.40
  5. Step 5: Solve for x
    x = 76,821,263,291.40/382,981.78
  6. Step 6: Final answer
    x = 200,587.25

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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.