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Finding the Fourth Proportional to 633,698.64, 948,638.39 and 408,611.39

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Solution

The fourth proportional to 633,698.64, 948,638.39 and 408,611.39 is: 611,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,698.64 : 948,638.39 = 408,611.39 : x
  2. Step 2: Convert to fraction form
    633,698.64/948,638.39 = 408,611.39/x
  3. Step 3: Cross multiply
    633,698.64x = 948,638.39 × 408,611.39
  4. Step 4: Simplify right side
    633,698.64x = 387,624,444,359.01
  5. Step 5: Solve for x
    x = 387,624,444,359.01/633,698.64
  6. Step 6: Final answer
    x = 611,685.78

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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.