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Finding the Fourth Proportional to 459,993.90, 690,093.77 and 140,170.80

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Solution

The fourth proportional to 459,993.90, 690,093.77 and 140,170.80 is: 210,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,993.90 : 690,093.77 = 140,170.80 : x
  2. Step 2: Convert to fraction form
    459,993.90/690,093.77 = 140,170.80/x
  3. Step 3: Cross multiply
    459,993.90x = 690,093.77 × 140,170.80
  4. Step 4: Simplify right side
    459,993.90x = 96,730,997,055.95
  5. Step 5: Solve for x
    x = 96,730,997,055.95/459,993.90
  6. Step 6: Final answer
    x = 210,287.56

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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.