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Finding the Fourth Proportional to 419,128.56, 628,686.68 and 103,585.48

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Solution

The fourth proportional to 419,128.56, 628,686.68 and 103,585.48 is: 155,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,128.56 : 628,686.68 = 103,585.48 : x
  2. Step 2: Convert to fraction form
    419,128.56/628,686.68 = 103,585.48/x
  3. Step 3: Cross multiply
    419,128.56x = 628,686.68 × 103,585.48
  4. Step 4: Simplify right side
    419,128.56x = 65,122,811,517.41
  5. Step 5: Solve for x
    x = 65,122,811,517.41/419,128.56
  6. Step 6: Final answer
    x = 155,376.70

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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.