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Finding the Fourth Proportional to 383,201.82, 574,445.32 and 130,309.49

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Solution

The fourth proportional to 383,201.82, 574,445.32 and 130,309.49 is: 195,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,201.82 : 574,445.32 = 130,309.49 : x
  2. Step 2: Convert to fraction form
    383,201.82/574,445.32 = 130,309.49/x
  3. Step 3: Cross multiply
    383,201.82x = 574,445.32 × 130,309.49
  4. Step 4: Simplify right side
    383,201.82x = 74,855,677,792.43
  5. Step 5: Solve for x
    x = 74,855,677,792.43/383,201.82
  6. Step 6: Final answer
    x = 195,342.70

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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.