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Finding the Fourth Proportional to 690,750, 1,036,183.68 and 192,114

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Solution

The fourth proportional to 690,750, 1,036,183.68 and 192,114 is: 288,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,750 : 1,036,183.68 = 192,114 : x
  2. Step 2: Convert to fraction form
    690,750/1,036,183.68 = 192,114/x
  3. Step 3: Cross multiply
    690,750x = 1,036,183.68 × 192,114
  4. Step 4: Simplify right side
    690,750x = 199,065,391,499.52
  5. Step 5: Solve for x
    x = 199,065,391,499.52/690,750
  6. Step 6: Final answer
    x = 288,187.32

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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.