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Finding the Fourth Proportional to 382,865.79, 574,298.69 and 102,375.75

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Solution

The fourth proportional to 382,865.79, 574,298.69 and 102,375.75 is: 153,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,865.79 : 574,298.69 = 102,375.75 : x
  2. Step 2: Convert to fraction form
    382,865.79/574,298.69 = 102,375.75/x
  3. Step 3: Cross multiply
    382,865.79x = 574,298.69 × 102,375.75
  4. Step 4: Simplify right side
    382,865.79x = 58,794,258,600.89
  5. Step 5: Solve for x
    x = 58,794,258,600.89/382,865.79
  6. Step 6: Final answer
    x = 153,563.63

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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.