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Finding the Fourth Proportional to 846,139.83, 1,269,188.82 and 206,448

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Solution

The fourth proportional to 846,139.83, 1,269,188.82 and 206,448 is: 309,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,139.83 : 1,269,188.82 = 206,448 : x
  2. Step 2: Convert to fraction form
    846,139.83/1,269,188.82 = 206,448/x
  3. Step 3: Cross multiply
    846,139.83x = 1,269,188.82 × 206,448
  4. Step 4: Simplify right side
    846,139.83x = 262,021,493,511.36
  5. Step 5: Solve for x
    x = 262,021,493,511.36/846,139.83
  6. Step 6: Final answer
    x = 309,666.89

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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.