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Finding the Fourth Proportional to 690,759, 1,036,197.18 and 192,123

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Solution

The fourth proportional to 690,759, 1,036,197.18 and 192,123 is: 288,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,759 : 1,036,197.18 = 192,123 : x
  2. Step 2: Convert to fraction form
    690,759/1,036,197.18 = 192,123/x
  3. Step 3: Cross multiply
    690,759x = 1,036,197.18 × 192,123
  4. Step 4: Simplify right side
    690,759x = 199,077,310,813.14
  5. Step 5: Solve for x
    x = 199,077,310,813.14/690,759
  6. Step 6: Final answer
    x = 288,200.82

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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.