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Finding the Fourth Proportional to 465,406.59, 698,150.09 and 128,447.30

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Solution

The fourth proportional to 465,406.59, 698,150.09 and 128,447.30 is: 192,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,406.59 : 698,150.09 = 128,447.30 : x
  2. Step 2: Convert to fraction form
    465,406.59/698,150.09 = 128,447.30/x
  3. Step 3: Cross multiply
    465,406.59x = 698,150.09 × 128,447.30
  4. Step 4: Simplify right side
    465,406.59x = 89,675,496,121.75
  5. Step 5: Solve for x
    x = 89,675,496,121.75/465,406.59
  6. Step 6: Final answer
    x = 192,682.05

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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.