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Finding the Fourth Proportional to 382,981.76, 574,735.06 and 133,663.76

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Solution

The fourth proportional to 382,981.76, 574,735.06 and 133,663.76 is: 200,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,981.76 : 574,735.06 = 133,663.76 : x
  2. Step 2: Convert to fraction form
    382,981.76/574,735.06 = 133,663.76/x
  3. Step 3: Cross multiply
    382,981.76x = 574,735.06 × 133,663.76
  4. Step 4: Simplify right side
    382,981.76x = 76,821,249,123.43
  5. Step 5: Solve for x
    x = 76,821,249,123.43/382,981.76
  6. Step 6: Final answer
    x = 200,587.23

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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.