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Finding the Fourth Proportional to 419,334.76, 628,909.26 and 134,949.16

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Solution

The fourth proportional to 419,334.76, 628,909.26 and 134,949.16 is: 202,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,334.76 : 628,909.26 = 134,949.16 : x
  2. Step 2: Convert to fraction form
    419,334.76/628,909.26 = 134,949.16/x
  3. Step 3: Cross multiply
    419,334.76x = 628,909.26 × 134,949.16
  4. Step 4: Simplify right side
    419,334.76x = 84,870,776,353.22
  5. Step 5: Solve for x
    x = 84,870,776,353.22/419,334.76
  6. Step 6: Final answer
    x = 202,393.85

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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.