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Finding the Fourth Proportional to 465,896.88, 698,860.82 and 128,909.30

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Solution

The fourth proportional to 465,896.88, 698,860.82 and 128,909.30 is: 193,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,896.88 : 698,860.82 = 128,909.30 : x
  2. Step 2: Convert to fraction form
    465,896.88/698,860.82 = 128,909.30/x
  3. Step 3: Cross multiply
    465,896.88x = 698,860.82 × 128,909.30
  4. Step 4: Simplify right side
    465,896.88x = 90,089,659,103.63
  5. Step 5: Solve for x
    x = 90,089,659,103.63/465,896.88
  6. Step 6: Final answer
    x = 193,368.24

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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.