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Finding the Fourth Proportional to 691,422, 1,037,307.96 and 192,786

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Solution

The fourth proportional to 691,422, 1,037,307.96 and 192,786 is: 289,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,422 : 1,037,307.96 = 192,786 : x
  2. Step 2: Convert to fraction form
    691,422/1,037,307.96 = 192,786/x
  3. Step 3: Cross multiply
    691,422x = 1,037,307.96 × 192,786
  4. Step 4: Simplify right side
    691,422x = 199,978,452,376.56
  5. Step 5: Solve for x
    x = 199,978,452,376.56/691,422
  6. Step 6: Final answer
    x = 289,227.78

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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.