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Finding the Fourth Proportional to 383,581.82, 575,371.92 and 103,099.08

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Solution

The fourth proportional to 383,581.82, 575,371.92 and 103,099.08 is: 154,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,581.82 : 575,371.92 = 103,099.08 : x
  2. Step 2: Convert to fraction form
    383,581.82/575,371.92 = 103,099.08/x
  3. Step 3: Cross multiply
    383,581.82x = 575,371.92 × 103,099.08
  4. Step 4: Simplify right side
    383,581.82x = 59,320,315,609.83
  5. Step 5: Solve for x
    x = 59,320,315,609.83/383,581.82
  6. Step 6: Final answer
    x = 154,648.40

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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.