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Finding the Fourth Proportional to 419,124.32, 628,680.36 and 103,581.26

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Solution

The fourth proportional to 419,124.32, 628,680.36 and 103,581.26 is: 155,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,124.32 : 628,680.36 = 103,581.26 : x
  2. Step 2: Convert to fraction form
    419,124.32/628,680.36 = 103,581.26/x
  3. Step 3: Cross multiply
    419,124.32x = 628,680.36 × 103,581.26
  4. Step 4: Simplify right side
    419,124.32x = 65,119,503,826.05
  5. Step 5: Solve for x
    x = 65,119,503,826.05/419,124.32
  6. Step 6: Final answer
    x = 155,370.38

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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.