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Finding the Fourth Proportional to 419,987.64, 629,984 and 104,444.58

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Solution

The fourth proportional to 419,987.64, 629,984 and 104,444.58 is: 156,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,987.64 : 629,984 = 104,444.58 : x
  2. Step 2: Convert to fraction form
    419,987.64/629,984 = 104,444.58/x
  3. Step 3: Cross multiply
    419,987.64x = 629,984 × 104,444.58
  4. Step 4: Simplify right side
    419,987.64x = 65,798,414,286.72
  5. Step 5: Solve for x
    x = 65,798,414,286.72/419,987.64
  6. Step 6: Final answer
    x = 156,667.50

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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.